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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 99 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 0 ms]
    (10) typed CpxTrs
    (11) RewriteLemmaProof [LOWER BOUND(ID), 617 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), 35 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) NarrowingProof [BOTH BOUNDS(ID, ID), 1 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 28 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (40) CdtProblem
        (41) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (42) CdtProblem
        (43) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (44) CdtProblem
        (45) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (46) CdtProblem
        (47) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 19 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 14 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 25 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 35 ms]
        (56) CdtProblem
        (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 86 ms]
        (58) CdtProblem
        (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 59 ms]
        (60) CdtProblem
        (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (62) CdtProblem
        (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 77 ms]
        (64) CdtProblem
        (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 100 ms]
        (66) CdtProblem
        (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 52 ms]
        (68) CdtProblem
        (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 10 ms]
        (70) CdtProblem
        (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 177 ms]
        (72) CdtProblem
        (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 19 ms]
        (74) CdtProblem
        (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (76) CdtProblem
        (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 26 ms]
        (78) CdtProblem
        (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 171 ms]
        (80) CdtProblem
        (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 168 ms]
        (82) CdtProblem
        (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 199 ms]
        (84) CdtProblem
        (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 70 ms]
        (86) CdtProblem
        (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 56 ms]
        (88) CdtProblem
        (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 134 ms]
        (90) CdtProblem
        (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 53 ms]
        (92) CdtProblem
        (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 200 ms]
        (94) CdtProblem
        (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 47 ms]
        (96) CdtProblem
        (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 130 ms]
        (98) CdtProblem
        (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 160 ms]
        (100) CdtProblem
        (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 317 ms]
        (102) CdtProblem
        (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 243 ms]
        (104) 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(x1)) -> b(a(b(x1)))
   a(a(a(x1))) -> a(b(a(b(a(x1)))))
   a(b(a(x1))) -> b(b(a(b(b(x1)))))
   a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1)))))))
   a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1)))))))
   a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1)))))))
   a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1)))))))
   a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1)))))))))
   a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1)))))))))
   a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1)))))))))
   a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1)))))))))
   a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1)))))))))
   a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1)))))))))
   a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1)))))))))
   a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(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(b(x_1)) -> b(encArg(x_1))
   encArg(cons_a(x_1)) -> a(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(x1)) -> b(a(b(x1)))
   a(a(a(x1))) -> a(b(a(b(a(x1)))))
   a(b(a(x1))) -> b(b(a(b(b(x1)))))
   a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1)))))))
   a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1)))))))
   a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1)))))))
   a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1)))))))
   a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1)))))))))
   a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1)))))))))
   a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1)))))))))
   a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1)))))))))
   a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1)))))))))
   a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1)))))))))
   a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1)))))))))
   a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1)))))))))

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

   encArg(b(x_1)) -> b(encArg(x_1))
   encArg(cons_a(x_1)) -> a(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(x1)) -> b(a(b(x1)))
   a(a(a(x1))) -> a(b(a(b(a(x1)))))
   a(b(a(x1))) -> b(b(a(b(b(x1)))))
   a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1)))))))
   a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1)))))))
   a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1)))))))
   a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1)))))))
   a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1)))))))))
   a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1)))))))))
   a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1)))))))))
   a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1)))))))))
   a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1)))))))))
   a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1)))))))))
   a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1)))))))))
   a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1)))))))))

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

   encArg(b(x_1)) -> b(encArg(x_1))
   encArg(cons_a(x_1)) -> a(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(x1)) -> b(a(b(x1)))
   a(a(a(x1))) -> a(b(a(b(a(x1)))))
   a(b(a(x1))) -> b(b(a(b(b(x1)))))
   a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1)))))))
   a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1)))))))
   a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1)))))))
   a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1)))))))
   a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1)))))))))
   a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1)))))))))
   a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1)))))))))
   a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1)))))))))
   a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1)))))))))
   a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1)))))))))
   a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1)))))))))
   a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1)))))))))

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

   encArg(b(x_1)) -> b(encArg(x_1))
   encArg(cons_a(x_1)) -> a(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(x1)) -> b(a(b(x1)))
a(a(a(x1))) -> a(b(a(b(a(x1)))))
a(b(a(x1))) -> b(b(a(b(b(x1)))))
a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1)))))))
a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1)))))))
a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1)))))))
a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1)))))))
a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1)))))))))
a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1)))))))))
a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1)))))))))
a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1)))))))))
a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1)))))))))
a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1)))))))))
a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1)))))))))
a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1)))))))))
encArg(b(x_1)) -> b(encArg(x_1))
encArg(cons_a(x_1)) -> a(encArg(x_1))
encode_a(x_1) -> a(encArg(x_1))
encode_b(x_1) -> b(encArg(x_1))

Types:
a :: b:cons_a -> b:cons_a
b :: b:cons_a -> b:cons_a
encArg :: b:cons_a -> b:cons_a
cons_a :: b:cons_a -> b:cons_a
encode_a :: b:cons_a -> b:cons_a
encode_b :: b:cons_a -> b:cons_a
hole_b:cons_a1_0 :: b:cons_a
gen_b:cons_a2_0 :: Nat -> b:cons_a

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

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

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

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

(10)
Obligation:
TRS:
Rules:
a(a(x1)) -> b(a(b(x1)))
a(a(a(x1))) -> a(b(a(b(a(x1)))))
a(b(a(x1))) -> b(b(a(b(b(x1)))))
a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1)))))))
a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1)))))))
a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1)))))))
a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1)))))))
a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1)))))))))
a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1)))))))))
a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1)))))))))
a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1)))))))))
a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1)))))))))
a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1)))))))))
a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1)))))))))
a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1)))))))))
encArg(b(x_1)) -> b(encArg(x_1))
encArg(cons_a(x_1)) -> a(encArg(x_1))
encode_a(x_1) -> a(encArg(x_1))
encode_b(x_1) -> b(encArg(x_1))

Types:
a :: b:cons_a -> b:cons_a
b :: b:cons_a -> b:cons_a
encArg :: b:cons_a -> b:cons_a
cons_a :: b:cons_a -> b:cons_a
encode_a :: b:cons_a -> b:cons_a
encode_b :: b:cons_a -> b:cons_a
hole_b:cons_a1_0 :: b:cons_a
gen_b:cons_a2_0 :: Nat -> b:cons_a


Generator Equations:
gen_b:cons_a2_0(0) <=> hole_b:cons_a1_0
gen_b:cons_a2_0(+(x, 1)) <=> b(gen_b:cons_a2_0(x))


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

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

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

(11) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
encArg(gen_b:cons_a2_0(+(1, n7697_0))) -> *3_0, rt in Omega(0)

Induction Base:
encArg(gen_b:cons_a2_0(+(1, 0)))

Induction Step:
encArg(gen_b:cons_a2_0(+(1, +(n7697_0, 1)))) ->_R^Omega(0)
b(encArg(gen_b:cons_a2_0(+(1, n7697_0)))) ->_IH
b(*3_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(x1)) -> b(a(b(x1)))
   a(a(a(x1))) -> a(b(a(b(a(x1)))))
   a(b(a(x1))) -> b(b(a(b(b(x1)))))
   a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1)))))))
   a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1)))))))
   a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1)))))))
   a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1)))))))
   a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1)))))))))
   a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1)))))))))
   a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1)))))))))
   a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1)))))))))
   a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1)))))))))
   a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1)))))))))
   a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1)))))))))
   a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1)))))))))

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

   encArg(b(x_1)) -> b(encArg(x_1))
   encArg(cons_a(x_1)) -> a(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(x1)) -> b(a(b(x1)))
   a(a(a(x1))) -> a(b(a(b(a(x1)))))
   a(b(a(x1))) -> b(b(a(b(b(x1)))))
   a(a(a(a(x1)))) -> a(a(b(a(b(a(a(x1)))))))
   a(a(b(a(x1)))) -> a(b(b(a(b(a(b(x1)))))))
   a(b(a(a(x1)))) -> b(a(b(a(b(b(a(x1)))))))
   a(b(b(a(x1)))) -> b(b(b(a(b(b(b(x1)))))))
   a(a(a(a(a(x1))))) -> a(a(a(b(a(b(a(a(a(x1)))))))))
   a(a(a(b(a(x1))))) -> a(a(b(b(a(b(a(a(b(x1)))))))))
   a(a(b(a(a(x1))))) -> a(b(a(b(a(b(a(b(a(x1)))))))))
   a(a(b(b(a(x1))))) -> a(b(b(b(a(b(a(b(b(x1)))))))))
   a(b(a(a(a(x1))))) -> b(a(a(b(a(b(b(a(a(x1)))))))))
   a(b(a(b(a(x1))))) -> b(a(b(b(a(b(b(a(b(x1)))))))))
   a(b(b(a(a(x1))))) -> b(b(a(b(a(b(b(b(a(x1)))))))))
   a(b(b(b(a(x1))))) -> b(b(b(b(a(b(b(b(b(x1)))))))))
   encArg(b(x_1)) -> b(encArg(x_1))
   encArg(cons_a(x_1)) -> a(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(b(c_a(c_a(x1))))) -> a(b(a(b(a(b(a(b(a(x1)))))))))
   a(c_a(c_a(c_a(x1)))) -> a(a(b(a(b(a(a(x1)))))))
   a(b(b(c_a(x1)))) -> b(b(b(a(b(b(b(x1)))))))
   a(c_a(c_a(b(c_a(x1))))) -> a(a(b(b(a(b(a(a(b(x1)))))))))
   a(b(b(c_a(c_a(x1))))) -> b(b(a(b(a(b(b(b(a(x1)))))))))
   a(c_a(c_a(x1))) -> a(b(a(b(a(x1)))))
   a(c_a(b(b(c_a(x1))))) -> a(b(b(b(a(b(a(b(b(x1)))))))))
   a(b(c_a(x1))) -> b(b(a(b(b(x1)))))
   a(b(c_a(c_a(x1)))) -> b(a(b(a(b(b(a(x1)))))))
   a(b(b(b(c_a(x1))))) -> b(b(b(b(a(b(b(b(b(x1)))))))))
   a(c_a(x1)) -> b(a(b(x1)))
   a(c_a(c_a(c_a(c_a(x1))))) -> a(a(a(b(a(b(a(a(a(x1)))))))))
   a(b(c_a(b(c_a(x1))))) -> b(a(b(b(a(b(b(a(b(x1)))))))))
   a(c_a(b(c_a(x1)))) -> a(b(b(a(b(a(b(x1)))))))
   a(b(c_a(c_a(c_a(x1))))) -> b(a(a(b(a(b(b(a(a(x1)))))))))

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

   encArg(b(x_1)) -> b(encArg(x_1))
   encArg(cons_a(x_1)) -> a(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   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(b(c_a(c_a(x1))))) -> a(b(a(b(a(b(a(b(a(x1)))))))))
   a(c_a(c_a(c_a(x1)))) -> a(a(b(a(b(a(a(x1)))))))
   a(b(b(c_a(x1)))) -> b(b(b(a(b(b(b(x1)))))))
   a(c_a(c_a(b(c_a(x1))))) -> a(a(b(b(a(b(a(a(b(x1)))))))))
   a(b(b(c_a(c_a(x1))))) -> b(b(a(b(a(b(b(b(a(x1)))))))))
   a(c_a(c_a(x1))) -> a(b(a(b(a(x1)))))
   a(c_a(b(b(c_a(x1))))) -> a(b(b(b(a(b(a(b(b(x1)))))))))
   a(b(c_a(x1))) -> b(b(a(b(b(x1)))))
   a(b(c_a(c_a(x1)))) -> b(a(b(a(b(b(a(x1)))))))
   a(b(b(b(c_a(x1))))) -> b(b(b(b(a(b(b(b(b(x1)))))))))
   a(c_a(x1)) -> b(a(b(x1)))
   a(c_a(c_a(c_a(c_a(x1))))) -> a(a(a(b(a(b(a(a(a(x1)))))))))
   a(b(c_a(b(c_a(x1))))) -> b(a(b(b(a(b(b(a(b(x1)))))))))
   a(c_a(b(c_a(x1)))) -> a(b(b(a(b(a(b(x1)))))))
   a(b(c_a(c_a(c_a(x1))))) -> b(a(a(b(a(b(b(a(a(x1)))))))))

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

   encArg(b(x_1)) -> b(encArg(x_1))
   encArg(cons_a(x_1)) -> a(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   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(b(c_a(c_a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) [1]
   a(c_a(c_a(c_a(x1)))) -> a(a(b(a(b(a(a(x1))))))) [1]
   a(b(b(c_a(x1)))) -> b(b(b(a(b(b(b(x1))))))) [1]
   a(c_a(c_a(b(c_a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) [1]
   a(b(b(c_a(c_a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) [1]
   a(c_a(c_a(x1))) -> a(b(a(b(a(x1))))) [1]
   a(c_a(b(b(c_a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) [1]
   a(b(c_a(x1))) -> b(b(a(b(b(x1))))) [1]
   a(b(c_a(c_a(x1)))) -> b(a(b(a(b(b(a(x1))))))) [1]
   a(b(b(b(c_a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) [1]
   a(c_a(x1)) -> b(a(b(x1))) [1]
   a(c_a(c_a(c_a(c_a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) [1]
   a(b(c_a(b(c_a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) [1]
   a(c_a(b(c_a(x1)))) -> a(b(b(a(b(a(b(x1))))))) [1]
   a(b(c_a(c_a(c_a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) [1]
   encArg(b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_a(x_1)) -> a(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]

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(b(c_a(c_a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) [1]
   a(c_a(c_a(c_a(x1)))) -> a(a(b(a(b(a(a(x1))))))) [1]
   a(b(b(c_a(x1)))) -> b(b(b(a(b(b(b(x1))))))) [1]
   a(c_a(c_a(b(c_a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) [1]
   a(b(b(c_a(c_a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) [1]
   a(c_a(c_a(x1))) -> a(b(a(b(a(x1))))) [1]
   a(c_a(b(b(c_a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) [1]
   a(b(c_a(x1))) -> b(b(a(b(b(x1))))) [1]
   a(b(c_a(c_a(x1)))) -> b(a(b(a(b(b(a(x1))))))) [1]
   a(b(b(b(c_a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) [1]
   a(c_a(x1)) -> b(a(b(x1))) [1]
   a(c_a(c_a(c_a(c_a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) [1]
   a(b(c_a(b(c_a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) [1]
   a(c_a(b(c_a(x1)))) -> a(b(b(a(b(a(b(x1))))))) [1]
   a(b(c_a(c_a(c_a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) [1]
   encArg(b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_a(x_1)) -> a(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]

The TRS has the following type information:
a :: c_a:b:cons_a -> c_a:b:cons_a
c_a :: c_a:b:cons_a -> c_a:b:cons_a
b :: c_a:b:cons_a -> c_a:b:cons_a
encArg :: c_a:b:cons_a -> c_a:b:cons_a
cons_a :: c_a:b:cons_a -> c_a:b:cons_a
encode_a :: c_a:b:cons_a -> c_a:b:cons_a
encode_b :: c_a:b:cons_a -> c_a:b:cons_a

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

(25) 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
   a_1

Due to the following rules being added:

   encArg(v0) -> const [0]
   encode_a(v0) -> const [0]
   encode_b(v0) -> const [0]
   a(v0) -> const [0]

And the following fresh constants:    const

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

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

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

   a(c_a(b(c_a(c_a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) [1]
   a(c_a(c_a(c_a(x1)))) -> a(a(b(a(b(a(a(x1))))))) [1]
   a(b(b(c_a(x1)))) -> b(b(b(a(b(b(b(x1))))))) [1]
   a(c_a(c_a(b(c_a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) [1]
   a(b(b(c_a(c_a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) [1]
   a(c_a(c_a(x1))) -> a(b(a(b(a(x1))))) [1]
   a(c_a(b(b(c_a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) [1]
   a(b(c_a(x1))) -> b(b(a(b(b(x1))))) [1]
   a(b(c_a(c_a(x1)))) -> b(a(b(a(b(b(a(x1))))))) [1]
   a(b(b(b(c_a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) [1]
   a(c_a(x1)) -> b(a(b(x1))) [1]
   a(c_a(c_a(c_a(c_a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) [1]
   a(b(c_a(b(c_a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) [1]
   a(c_a(b(c_a(x1)))) -> a(b(b(a(b(a(b(x1))))))) [1]
   a(b(c_a(c_a(c_a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) [1]
   encArg(b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_a(x_1)) -> a(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]
   encArg(v0) -> const [0]
   encode_a(v0) -> const [0]
   encode_b(v0) -> const [0]
   a(v0) -> const [0]

The TRS has the following type information:
a :: c_a:b:cons_a:const -> c_a:b:cons_a:const
c_a :: c_a:b:cons_a:const -> c_a:b:cons_a:const
b :: c_a:b:cons_a:const -> c_a:b:cons_a:const
encArg :: c_a:b:cons_a:const -> c_a:b:cons_a:const
cons_a :: c_a:b:cons_a:const -> c_a:b:cons_a:const
encode_a :: c_a:b:cons_a:const -> c_a:b:cons_a:const
encode_b :: c_a:b:cons_a:const -> c_a:b:cons_a:const
const :: c_a:b:cons_a:const

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

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

(28)
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(b(c_a(c_a(c_a(b(c_a(c_a(x1'))))))))) -> a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(x1'))))))))))))))))) [2]
   a(c_a(b(c_a(c_a(c_a(c_a(c_a(x1'')))))))) -> a(b(a(b(a(b(a(b(a(a(b(a(b(a(a(x1''))))))))))))))) [2]
   a(c_a(b(c_a(c_a(b(b(c_a(x11)))))))) -> a(b(a(b(a(b(a(b(b(b(b(a(b(b(b(x11))))))))))))))) [2]
   a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(x12))))))))) -> a(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(x12))))))))))))))))) [2]
   a(c_a(b(c_a(c_a(b(b(c_a(c_a(x13))))))))) -> a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(x13))))))))))))))))) [2]
   a(c_a(b(c_a(c_a(c_a(c_a(x14))))))) -> a(b(a(b(a(b(a(b(a(b(a(b(a(x14))))))))))))) [2]
   a(c_a(b(c_a(c_a(c_a(b(b(c_a(x15))))))))) -> a(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(x15))))))))))))))))) [2]
   a(c_a(b(c_a(c_a(b(c_a(x16))))))) -> a(b(a(b(a(b(a(b(b(b(a(b(b(x16))))))))))))) [2]
   a(c_a(b(c_a(c_a(b(c_a(c_a(x17)))))))) -> a(b(a(b(a(b(a(b(b(a(b(a(b(b(a(x17))))))))))))))) [2]
   a(c_a(b(c_a(c_a(b(b(b(c_a(x18))))))))) -> a(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(x18))))))))))))))))) [2]
   a(c_a(b(c_a(c_a(c_a(x19)))))) -> a(b(a(b(a(b(a(b(b(a(b(x19))))))))))) [2]
   a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(x110))))))))) -> a(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(x110))))))))))))))))) [2]
   a(c_a(b(c_a(c_a(b(c_a(b(c_a(x111))))))))) -> a(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(x111))))))))))))))))) [2]
   a(c_a(b(c_a(c_a(c_a(b(c_a(x112)))))))) -> a(b(a(b(a(b(a(b(a(b(b(a(b(a(b(x112))))))))))))))) [2]
   a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x113))))))))) -> a(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(x113))))))))))))))))) [2]
   a(c_a(b(c_a(c_a(x1))))) -> a(b(a(b(a(b(a(b(c_a(x1))))))))) [1]
   a(c_a(b(c_a(c_a(x1))))) -> a(b(a(b(a(b(a(b(const)))))))) [1]
   a(c_a(c_a(c_a(c_a(b(c_a(c_a(x114)))))))) -> a(a(b(a(b(a(a(b(a(b(a(b(a(b(a(x114))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(x115))))))) -> a(a(b(a(b(a(a(a(b(a(b(a(a(x115))))))))))))) [2]
   a(c_a(c_a(c_a(b(b(c_a(x116))))))) -> a(a(b(a(b(a(b(b(b(a(b(b(b(x116))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(b(c_a(x117)))))))) -> a(a(b(a(b(a(a(a(b(b(a(b(a(a(b(x117))))))))))))))) [2]
   a(c_a(c_a(c_a(b(b(c_a(c_a(x118)))))))) -> a(a(b(a(b(a(b(b(a(b(a(b(b(b(a(x118))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(x119)))))) -> a(a(b(a(b(a(a(b(a(b(a(x119))))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(b(c_a(x120)))))))) -> a(a(b(a(b(a(a(b(b(b(a(b(a(b(b(x120))))))))))))))) [2]
   a(c_a(c_a(c_a(b(c_a(x121)))))) -> a(a(b(a(b(a(b(b(a(b(b(x121))))))))))) [2]
   a(c_a(c_a(c_a(b(c_a(c_a(x122))))))) -> a(a(b(a(b(a(b(a(b(a(b(b(a(x122))))))))))))) [2]
   a(c_a(c_a(c_a(b(b(b(c_a(x123)))))))) -> a(a(b(a(b(a(b(b(b(b(a(b(b(b(b(x123))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(x124))))) -> a(a(b(a(b(a(b(a(b(x124))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x125)))))))) -> a(a(b(a(b(a(a(a(a(b(a(b(a(a(a(x125))))))))))))))) [2]
   a(c_a(c_a(c_a(b(c_a(b(c_a(x126)))))))) -> a(a(b(a(b(a(b(a(b(b(a(b(b(a(b(x126))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(c_a(x127))))))) -> a(a(b(a(b(a(a(b(b(a(b(a(b(x127))))))))))))) [2]
   a(c_a(c_a(c_a(b(c_a(c_a(c_a(x128)))))))) -> a(a(b(a(b(a(b(a(a(b(a(b(b(a(a(x128))))))))))))))) [2]
   a(c_a(c_a(c_a(x1)))) -> a(a(b(a(b(a(c_a(x1))))))) [1]
   a(c_a(c_a(c_a(x1)))) -> a(a(b(a(b(a(const)))))) [1]
   a(b(b(c_a(x1)))) -> b(b(b(a(b(b(b(x1))))))) [1]
   a(c_a(c_a(b(c_a(b(c_a(x129))))))) -> a(a(b(b(a(b(a(b(b(b(a(b(b(b(x129)))))))))))))) [2]
   a(c_a(c_a(b(c_a(b(c_a(c_a(x130)))))))) -> a(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(x130)))))))))))))))) [2]
   a(c_a(c_a(b(c_a(c_a(x131)))))) -> a(a(b(b(a(b(a(b(b(a(b(b(x131)))))))))))) [2]
   a(c_a(c_a(b(c_a(c_a(c_a(x132))))))) -> a(a(b(b(a(b(a(b(a(b(a(b(b(a(x132)))))))))))))) [2]
   a(c_a(c_a(b(c_a(b(b(c_a(x133)))))))) -> a(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(x133)))))))))))))))) [2]
   a(c_a(c_a(b(c_a(c_a(b(c_a(x134)))))))) -> a(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(x134)))))))))))))))) [2]
   a(c_a(c_a(b(c_a(c_a(c_a(c_a(x135)))))))) -> a(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(x135)))))))))))))))) [2]
   a(c_a(c_a(b(c_a(x1))))) -> a(a(b(b(a(b(a(c_a(b(x1))))))))) [1]
   a(c_a(c_a(b(c_a(x1))))) -> a(a(b(b(a(b(a(const))))))) [1]
   a(b(b(c_a(c_a(c_a(b(c_a(c_a(x136))))))))) -> b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(x136))))))))))))))))) [2]
   a(b(b(c_a(c_a(c_a(c_a(c_a(x137)))))))) -> b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(x137))))))))))))))) [2]
   a(b(b(c_a(c_a(b(b(c_a(x138)))))))) -> b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(x138))))))))))))))) [2]
   a(b(b(c_a(c_a(c_a(c_a(b(c_a(x139))))))))) -> b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(x139))))))))))))))))) [2]
   a(b(b(c_a(c_a(b(b(c_a(c_a(x140))))))))) -> b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(x140))))))))))))))))) [2]
   a(b(b(c_a(c_a(c_a(c_a(x141))))))) -> b(b(a(b(a(b(b(b(a(b(a(b(a(x141))))))))))))) [2]
   a(b(b(c_a(c_a(c_a(b(b(c_a(x142))))))))) -> b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(x142))))))))))))))))) [2]
   a(b(b(c_a(c_a(b(c_a(x143))))))) -> b(b(a(b(a(b(b(b(b(b(a(b(b(x143))))))))))))) [2]
   a(b(b(c_a(c_a(b(c_a(c_a(x144)))))))) -> b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(x144))))))))))))))) [2]
   a(b(b(c_a(c_a(b(b(b(c_a(x145))))))))) -> b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(x145))))))))))))))))) [2]
   a(b(b(c_a(c_a(c_a(x146)))))) -> b(b(a(b(a(b(b(b(b(a(b(x146))))))))))) [2]
   a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(x147))))))))) -> b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(x147))))))))))))))))) [2]
   a(b(b(c_a(c_a(b(c_a(b(c_a(x148))))))))) -> b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(x148))))))))))))))))) [2]
   a(b(b(c_a(c_a(c_a(b(c_a(x149)))))))) -> b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(x149))))))))))))))) [2]
   a(b(b(c_a(c_a(b(c_a(c_a(c_a(x150))))))))) -> b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(x150))))))))))))))))) [2]
   a(b(b(c_a(c_a(x1))))) -> b(b(a(b(a(b(b(b(c_a(x1))))))))) [1]
   a(b(b(c_a(c_a(x1))))) -> b(b(a(b(a(b(b(b(const)))))))) [1]
   a(c_a(c_a(c_a(b(c_a(c_a(x151))))))) -> a(b(a(b(a(b(a(b(a(b(a(b(a(x151))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(x152)))))) -> a(b(a(b(a(a(b(a(b(a(a(x152))))))))))) [2]
   a(c_a(c_a(b(b(c_a(x153)))))) -> a(b(a(b(b(b(b(a(b(b(b(x153))))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(c_a(x154))))))) -> a(b(a(b(a(a(b(b(a(b(a(a(b(x154))))))))))))) [2]
   a(c_a(c_a(b(b(c_a(c_a(x155))))))) -> a(b(a(b(b(b(a(b(a(b(b(b(a(x155))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(x156))))) -> a(b(a(b(a(b(a(b(a(x156))))))))) [2]
   a(c_a(c_a(c_a(b(b(c_a(x157))))))) -> a(b(a(b(a(b(b(b(a(b(a(b(b(x157))))))))))))) [2]
   a(c_a(c_a(b(c_a(x158))))) -> a(b(a(b(b(b(a(b(b(x158))))))))) [2]
   a(c_a(c_a(b(c_a(c_a(x159)))))) -> a(b(a(b(b(a(b(a(b(b(a(x159))))))))))) [2]
   a(c_a(c_a(b(b(b(c_a(x160))))))) -> a(b(a(b(b(b(b(b(a(b(b(b(b(x160))))))))))))) [2]
   a(c_a(c_a(c_a(x161)))) -> a(b(a(b(b(a(b(x161))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(x162))))))) -> a(b(a(b(a(a(a(b(a(b(a(a(a(x162))))))))))))) [2]
   a(c_a(c_a(b(c_a(b(c_a(x163))))))) -> a(b(a(b(b(a(b(b(a(b(b(a(b(x163))))))))))))) [2]
   a(c_a(c_a(c_a(b(c_a(x164)))))) -> a(b(a(b(a(b(b(a(b(a(b(x164))))))))))) [2]
   a(c_a(c_a(b(c_a(c_a(c_a(x165))))))) -> a(b(a(b(b(a(a(b(a(b(b(a(a(x165))))))))))))) [2]
   a(c_a(c_a(x1))) -> a(b(a(b(c_a(x1))))) [1]
   a(c_a(c_a(x1))) -> a(b(a(b(const)))) [1]
   a(c_a(b(b(c_a(c_a(x166)))))) -> a(b(b(b(a(b(b(b(b(a(b(b(b(x166))))))))))))) [2]
   a(c_a(b(b(c_a(c_a(c_a(x167))))))) -> a(b(b(b(a(b(b(b(a(b(a(b(b(b(a(x167))))))))))))))) [2]
   a(c_a(b(b(c_a(b(c_a(x168))))))) -> a(b(b(b(a(b(b(b(b(b(a(b(b(b(b(x168))))))))))))))) [2]
   a(c_a(b(b(c_a(x1))))) -> a(b(b(b(a(b(c_a(b(b(x1))))))))) [1]
   a(c_a(b(b(c_a(x1))))) -> a(b(b(b(a(b(const)))))) [1]
   a(b(c_a(x1))) -> b(b(a(b(b(x1))))) [1]
   a(b(c_a(c_a(c_a(b(c_a(c_a(x169)))))))) -> b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(x169))))))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(c_a(x170))))))) -> b(a(b(a(b(b(a(a(b(a(b(a(a(x170))))))))))))) [2]
   a(b(c_a(c_a(b(b(c_a(x171))))))) -> b(a(b(a(b(b(b(b(b(a(b(b(b(x171))))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(b(c_a(x172)))))))) -> b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(x172))))))))))))))) [2]
   a(b(c_a(c_a(b(b(c_a(c_a(x173)))))))) -> b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(x173))))))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(x174)))))) -> b(a(b(a(b(b(a(b(a(b(a(x174))))))))))) [2]
   a(b(c_a(c_a(c_a(b(b(c_a(x175)))))))) -> b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(x175))))))))))))))) [2]
   a(b(c_a(c_a(b(c_a(x176)))))) -> b(a(b(a(b(b(b(b(a(b(b(x176))))))))))) [2]
   a(b(c_a(c_a(b(c_a(c_a(x177))))))) -> b(a(b(a(b(b(b(a(b(a(b(b(a(x177))))))))))))) [2]
   a(b(c_a(c_a(b(b(b(c_a(x178)))))))) -> b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(x178))))))))))))))) [2]
   a(b(c_a(c_a(c_a(x179))))) -> b(a(b(a(b(b(b(a(b(x179))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(c_a(c_a(x180)))))))) -> b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(x180))))))))))))))) [2]
   a(b(c_a(c_a(b(c_a(b(c_a(x181)))))))) -> b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(x181))))))))))))))) [2]
   a(b(c_a(c_a(c_a(b(c_a(x182))))))) -> b(a(b(a(b(b(a(b(b(a(b(a(b(x182))))))))))))) [2]
   a(b(c_a(c_a(b(c_a(c_a(c_a(x183)))))))) -> b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(x183))))))))))))))) [2]
   a(b(c_a(c_a(x1)))) -> b(a(b(a(b(b(c_a(x1))))))) [1]
   a(b(c_a(c_a(x1)))) -> b(a(b(a(b(b(const)))))) [1]
   a(b(b(b(c_a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) [1]
   a(c_a(x1)) -> b(a(b(x1))) [1]
   a(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(x184))))))))) -> a(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(x184))))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x185)))))))) -> a(a(a(b(a(b(a(a(a(a(b(a(b(a(a(x185))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(b(c_a(x186)))))))) -> a(a(a(b(a(b(a(a(b(b(b(a(b(b(b(x186))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(x187))))))))) -> a(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(x187))))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(b(c_a(c_a(x188))))))))) -> a(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(x188))))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(x189))))))) -> a(a(a(b(a(b(a(a(a(b(a(b(a(x189))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(b(b(c_a(x190))))))))) -> a(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(x190))))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(c_a(x191))))))) -> a(a(a(b(a(b(a(a(b(b(a(b(b(x191))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(c_a(c_a(x192)))))))) -> a(a(a(b(a(b(a(a(b(a(b(a(b(b(a(x192))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(b(b(c_a(x193))))))))) -> a(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(x193))))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(x194)))))) -> a(a(a(b(a(b(a(a(b(a(b(x194))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x195))))))))) -> a(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(x195))))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(c_a(b(c_a(x196))))))))) -> a(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(x196))))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(b(c_a(x197)))))))) -> a(a(a(b(a(b(a(a(a(b(b(a(b(a(b(x197))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(x198))))))))) -> a(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(x198))))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(x1))))) -> a(a(a(b(a(b(a(a(c_a(x1))))))))) [1]
   a(c_a(c_a(c_a(c_a(x1))))) -> a(a(a(b(a(b(a(a(const)))))))) [1]
   a(b(c_a(b(c_a(b(c_a(x199))))))) -> b(a(b(b(a(b(b(b(b(b(a(b(b(b(x199)))))))))))))) [2]
   a(b(c_a(b(c_a(b(c_a(c_a(x1100)))))))) -> b(a(b(b(a(b(b(b(b(a(b(a(b(b(b(a(x1100)))))))))))))))) [2]
   a(b(c_a(b(c_a(c_a(x1101)))))) -> b(a(b(b(a(b(b(b(b(a(b(b(x1101)))))))))))) [2]
   a(b(c_a(b(c_a(c_a(c_a(x1102))))))) -> b(a(b(b(a(b(b(b(a(b(a(b(b(a(x1102)))))))))))))) [2]
   a(b(c_a(b(c_a(b(b(c_a(x1103)))))))) -> b(a(b(b(a(b(b(b(b(b(b(a(b(b(b(b(x1103)))))))))))))))) [2]
   a(b(c_a(b(c_a(c_a(b(c_a(x1104)))))))) -> b(a(b(b(a(b(b(b(a(b(b(a(b(b(a(b(x1104)))))))))))))))) [2]
   a(b(c_a(b(c_a(c_a(c_a(c_a(x1105)))))))) -> b(a(b(b(a(b(b(b(a(a(b(a(b(b(a(a(x1105)))))))))))))))) [2]
   a(b(c_a(b(c_a(x1))))) -> b(a(b(b(a(b(b(c_a(b(x1))))))))) [1]
   a(b(c_a(b(c_a(x1))))) -> b(a(b(b(a(b(b(const))))))) [1]
   a(c_a(b(c_a(b(c_a(x1106)))))) -> a(b(b(a(b(b(b(b(a(b(b(b(x1106)))))))))))) [2]
   a(c_a(b(c_a(b(c_a(c_a(x1107))))))) -> a(b(b(a(b(b(b(a(b(a(b(b(b(a(x1107)))))))))))))) [2]
   a(c_a(b(c_a(c_a(x1108))))) -> a(b(b(a(b(b(b(a(b(b(x1108)))))))))) [2]
   a(c_a(b(c_a(c_a(c_a(x1109)))))) -> a(b(b(a(b(b(a(b(a(b(b(a(x1109)))))))))))) [2]
   a(c_a(b(c_a(b(b(c_a(x1110))))))) -> a(b(b(a(b(b(b(b(b(a(b(b(b(b(x1110)))))))))))))) [2]
   a(c_a(b(c_a(c_a(b(c_a(x1111))))))) -> a(b(b(a(b(b(a(b(b(a(b(b(a(b(x1111)))))))))))))) [2]
   a(c_a(b(c_a(c_a(c_a(c_a(x1112))))))) -> a(b(b(a(b(b(a(a(b(a(b(b(a(a(x1112)))))))))))))) [2]
   a(c_a(b(c_a(x1)))) -> a(b(b(a(b(c_a(b(x1))))))) [1]
   a(c_a(b(c_a(x1)))) -> a(b(b(a(b(const))))) [1]
   a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(x1113))))))))) -> b(a(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(x1113))))))))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(c_a(c_a(x1114)))))))) -> b(a(a(b(a(b(b(a(a(a(b(a(b(a(a(x1114))))))))))))))) [2]
   a(b(c_a(c_a(c_a(b(b(c_a(x1115)))))))) -> b(a(a(b(a(b(b(a(b(b(b(a(b(b(b(x1115))))))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(x1116))))))))) -> b(a(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(x1116))))))))))))))))) [2]
   a(b(c_a(c_a(c_a(b(b(c_a(c_a(x1117))))))))) -> b(a(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(x1117))))))))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(c_a(x1118))))))) -> b(a(a(b(a(b(b(a(a(b(a(b(a(x1118))))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(b(b(c_a(x1119))))))))) -> b(a(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(x1119))))))))))))))))) [2]
   a(b(c_a(c_a(c_a(b(c_a(x1120))))))) -> b(a(a(b(a(b(b(a(b(b(a(b(b(x1120))))))))))))) [2]
   a(b(c_a(c_a(c_a(b(c_a(c_a(x1121)))))))) -> b(a(a(b(a(b(b(a(b(a(b(a(b(b(a(x1121))))))))))))))) [2]
   a(b(c_a(c_a(c_a(b(b(b(c_a(x1122))))))))) -> b(a(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(x1122))))))))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(x1123)))))) -> b(a(a(b(a(b(b(a(b(a(b(x1123))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1124))))))))) -> b(a(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(x1124))))))))))))))))) [2]
   a(b(c_a(c_a(c_a(b(c_a(b(c_a(x1125))))))))) -> b(a(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(x1125))))))))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(b(c_a(x1126)))))))) -> b(a(a(b(a(b(b(a(a(b(b(a(b(a(b(x1126))))))))))))))) [2]
   a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(x1127))))))))) -> b(a(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(x1127))))))))))))))))) [2]
   a(b(c_a(c_a(c_a(x1))))) -> b(a(a(b(a(b(b(a(c_a(x1))))))))) [1]
   a(b(c_a(c_a(c_a(x1))))) -> b(a(a(b(a(b(b(a(const)))))))) [1]
   encArg(b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_a(b(x_1'))) -> a(b(encArg(x_1'))) [0]
   encArg(cons_a(cons_a(x_1''))) -> a(a(encArg(x_1''))) [0]
   encArg(cons_a(x_1)) -> a(const) [0]
   encode_a(b(x_11)) -> a(b(encArg(x_11))) [0]
   encode_a(cons_a(x_12)) -> a(a(encArg(x_12))) [0]
   encode_a(x_1) -> a(const) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   a(x0) -> c_a(x0) [0]
   encArg(v0) -> const [0]
   encode_a(v0) -> const [0]
   encode_b(v0) -> const [0]
   a(v0) -> const [0]

The TRS has the following type information:
a :: c_a:b:cons_a:const -> c_a:b:cons_a:const
c_a :: c_a:b:cons_a:const -> c_a:b:cons_a:const
b :: c_a:b:cons_a:const -> c_a:b:cons_a:const
encArg :: c_a:b:cons_a:const -> c_a:b:cons_a:const
cons_a :: c_a:b:cons_a:const -> c_a:b:cons_a:const
encode_a :: c_a:b:cons_a:const -> c_a:b:cons_a:const
encode_b :: c_a:b:cons_a:const -> c_a:b:cons_a:const
const :: c_a:b:cons_a:const

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

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

   const => 0

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

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

   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(a(a(1 + a(1 + a(a(a(x195))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x195))))))), x195 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(a(1 + a(1 + a(a(x185))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x185)))))), x185 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(a(1 + (1 + a(1 + a(a(1 + x187)))))))))))) :|: x187 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x187)))))))
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(1 + a(1 + a(x189))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x189))))), x189 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(1 + a(1 + a(1 + a(1 + a(x184))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x184))))))), x184 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(1 + (1 + a(1 + a(1 + x197)))))))))) :|: x197 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x197))))))
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(1 + (1 + (1 + a(1 + a(1 + (1 + x190)))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x190))))))), x190 >= 0
   a(z) -{ 1 }-> a(a(a(1 + a(1 + a(a(0)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 1 }-> a(a(a(1 + a(1 + a(a(1 + x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + a(a(1 + a(1 + (1 + a(a(x198)))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x198))))))), x198 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + a(1 + x194))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x194)))), x194 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + a(1 + a(1 + (1 + a(x192)))))))))) :|: x192 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x192))))))
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + a(1 + (1 + a(1 + (1 + a(1 + x196))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x196))))))), x196 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + (1 + a(1 + a(1 + (1 + (1 + a(x188)))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x188))))))), x188 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + (1 + a(1 + (1 + x191))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x191))))), x191 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + (1 + (1 + a(1 + (1 + (1 + x186))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x186)))))), x186 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x193))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x193))))))), x193 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(a(a(1 + a(1 + a(a(a(x125))))))))))) :|: x125 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x125))))))
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(a(1 + a(1 + a(a(x115))))))))) :|: x115 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x115)))))
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(a(1 + (1 + a(1 + a(a(1 + x117)))))))))) :|: x117 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x117))))))
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(1 + a(1 + a(x119))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x119)))), x119 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(1 + a(1 + a(1 + a(1 + a(x114))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x114)))))), x114 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(1 + (1 + a(1 + a(1 + x127)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x127))))), x127 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(1 + (1 + (1 + a(1 + a(1 + (1 + x120)))))))))) :|: x120 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x120))))))
   a(z) -{ 1 }-> a(a(1 + a(1 + a(0)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> a(a(1 + a(1 + a(1 + x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + a(a(1 + a(1 + (1 + a(a(x128)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x128)))))), x128 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + a(1 + x124))))) :|: x124 >= 0, z = 1 + (1 + (1 + (1 + x124)))
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + a(1 + a(1 + (1 + a(x122)))))))) :|: x122 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x122)))))
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + a(1 + (1 + a(1 + (1 + a(1 + x126))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x126)))))), x126 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + (1 + a(1 + a(1 + (1 + (1 + a(x118)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x118)))))), x118 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + (1 + a(1 + (1 + x121))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x121)))), x121 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + (1 + x116))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x116))))), x116 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x123))))))))))) :|: x123 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x123))))))
   a(z) -{ 1 }-> a(a(1 + (1 + a(1 + a(0))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + a(a(1 + a(1 + (1 + a(a(x135))))))))))) :|: x135 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x135))))))
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + a(1 + a(1 + (1 + a(x132))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x132))))), x132 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + a(1 + (1 + a(1 + (1 + a(1 + x134)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x134)))))), x134 >= 0
   a(z) -{ 1 }-> a(a(1 + (1 + a(1 + a(1 + (1 + x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + (1 + a(1 + a(1 + (1 + (1 + a(x130))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x130)))))), x130 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + (1 + a(1 + (1 + x131)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x131)))), x131 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + (1 + x129)))))))))) :|: x129 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x129)))))
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x133)))))))))))) :|: x133 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x133))))))
   a(z) -{ 2 }-> a(1 + a(1 + a(a(a(1 + a(1 + a(a(a(x162))))))))) :|: x162 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x162)))))
   a(z) -{ 2 }-> a(1 + a(1 + a(a(1 + a(1 + a(a(x152))))))) :|: x152 >= 0, z = 1 + (1 + (1 + (1 + (1 + x152))))
   a(z) -{ 2 }-> a(1 + a(1 + a(a(1 + (1 + a(1 + a(a(1 + x154)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x154))))), x154 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(x156))))) :|: x156 >= 0, z = 1 + (1 + (1 + (1 + x156)))
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(a(a(1 + a(1 + a(a(a(x110))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x110))))))), x110 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(a(1 + a(1 + a(a(x1''))))))))) :|: x1'' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1''))))))
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(a(1 + (1 + a(1 + a(a(1 + x12)))))))))) :|: x12 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12)))))))
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(1 + a(1 + a(x14))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x14))))), x14 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(1 + a(1 + a(x151))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x151))))), x151 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(1 + a(1 + a(1 + a(1 + a(x1'))))))))) :|: x1' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1')))))))
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(1 + (1 + a(1 + a(1 + x112)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x112)))))), x112 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + x15)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x15))))))), x15 >= 0
   a(z) -{ 1 }-> a(1 + a(1 + a(1 + a(1 + 0)))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 1 }-> a(1 + a(1 + a(1 + a(1 + (1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + a(a(1 + a(1 + (1 + a(a(x113))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x113))))))), x113 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + a(1 + x19)))))) :|: x19 >= 0, z = 1 + (1 + (1 + (1 + (1 + x19))))
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + a(1 + a(1 + (1 + a(x17))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x17)))))), x17 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + x111)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x111))))))), x111 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(x13))))))))))) :|: x13 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13)))))))
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + x16)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x16))))), x16 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + x11)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x11)))))), x11 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x18)))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x18))))))), x18 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + a(1 + a(1 + x164)))))) :|: z = 1 + (1 + (1 + (1 + (1 + x164)))), x164 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + x157)))))))) :|: x157 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x157)))))
   a(z) -{ 1 }-> a(1 + a(1 + 0)) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 1 }-> a(1 + a(1 + (1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + a(a(1 + a(1 + (1 + a(a(x165))))))))) :|: x165 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x165)))))
   a(z) -{ 2 }-> a(1 + a(1 + (1 + a(1 + x161)))) :|: x161 >= 0, z = 1 + (1 + (1 + x161))
   a(z) -{ 2 }-> a(1 + a(1 + (1 + a(1 + a(1 + (1 + a(x159))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x159)))), x159 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + x163)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x163))))), x163 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(x155))))))))) :|: x155 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x155)))))
   a(z) -{ 2 }-> a(1 + a(1 + (1 + (1 + a(1 + (1 + x158)))))) :|: z = 1 + (1 + (1 + (1 + x158))), x158 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + x153)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x153)))), x153 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x160)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x160))))), x160 >= 0
   a(z) -{ 1 }-> a(1 + (1 + a(1 + 0))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + a(a(1 + a(1 + (1 + a(a(x1112)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x1112))))), x1112 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + a(1 + a(1 + (1 + a(x1109)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x1109)))), x1109 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + x1111))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x1111))))), x1111 >= 0
   a(z) -{ 1 }-> a(1 + (1 + a(1 + (1 + (1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(x1107)))))))))) :|: x1107 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1107)))))
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + (1 + a(1 + (1 + x1108))))))) :|: z = 1 + (1 + (1 + (1 + x1108))), x1108 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + x1106))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x1106)))), x1106 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x1110))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x1110))))), x1110 >= 0
   a(z) -{ 1 }-> a(1 + (1 + (1 + a(1 + 0)))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(x167))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x167))))), x167 >= 0
   a(z) -{ 1 }-> a(1 + (1 + (1 + a(1 + (1 + (1 + (1 + x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + x166)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x166)))), x166 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x168)))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x168))))), x168 >= 0
   a(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(a(a(1 + a(1 + a(a(a(x1124)))))))))))) :|: x1124 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1124)))))))
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(a(1 + a(1 + a(a(x1114)))))))))) :|: x1114 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1114))))))
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(a(1 + (1 + a(1 + a(a(1 + x1116))))))))))) :|: x1116 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1116)))))))
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(1 + a(1 + a(x1118)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x1118))))), x1118 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(1 + a(1 + a(1 + a(1 + a(x1113)))))))))) :|: x1113 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1113)))))))
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(1 + (1 + a(1 + a(1 + x1126))))))))) :|: x1126 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1126))))))
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(1 + (1 + (1 + a(1 + a(1 + (1 + x1119))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1119))))))), x1119 >= 0
   a(z) -{ 1 }-> 1 + a(a(1 + a(1 + (1 + a(0))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 1 }-> 1 + a(a(1 + a(1 + (1 + a(1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + a(a(1 + a(1 + (1 + a(a(x1127))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1127))))))), x1127 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + a(1 + x1123)))))) :|: x1123 >= 0, z = 1 + (1 + (1 + (1 + (1 + x1123))))
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + a(1 + a(1 + (1 + a(x1121))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1121)))))), x1121 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + a(1 + (1 + a(1 + (1 + a(1 + x1125)))))))))) :|: x1125 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1125)))))))
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + (1 + a(1 + a(1 + (1 + (1 + a(x1117))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1117))))))), x1117 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + (1 + a(1 + (1 + x1120)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x1120))))), x1120 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + (1 + (1 + a(1 + (1 + (1 + x1115)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1115)))))), x1115 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x1122)))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1122))))))), x1122 >= 0
   a(z) -{ 1 }-> 1 + a(1 + x1) :|: x1 >= 0, z = 1 + x1
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(a(a(1 + a(1 + a(a(a(x180)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x180)))))), x180 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(a(1 + a(1 + a(a(x170)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x170))))), x170 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(a(1 + (1 + a(1 + a(a(1 + x172))))))))) :|: x172 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x172))))))
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(1 + a(1 + a(x174)))))) :|: x174 >= 0, z = 1 + (1 + (1 + (1 + (1 + x174))))
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(1 + a(1 + a(1 + a(1 + a(x169)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x169)))))), x169 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(1 + (1 + a(1 + a(1 + x182))))))) :|: x182 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x182)))))
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + x175))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x175)))))), x175 >= 0
   a(z) -{ 1 }-> 1 + a(1 + a(1 + (1 + 0))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> 1 + a(1 + a(1 + (1 + (1 + x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + a(a(1 + a(1 + (1 + a(a(x183)))))))))) :|: x183 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x183))))))
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + a(1 + x179))))) :|: z = 1 + (1 + (1 + (1 + x179))), x179 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + a(x177)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x177))))), x177 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + x181))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x181)))))), x181 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(x173)))))))))) :|: x173 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x173))))))
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + (1 + x176))))))) :|: x176 >= 0, z = 1 + (1 + (1 + (1 + (1 + x176))))
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + x171))))))))) :|: x171 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x171)))))
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x178))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x178)))))), x178 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (1 + a(1 + (1 + 0)))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + a(a(1 + a(1 + (1 + a(a(x1105))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1105)))))), x1105 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + a(x1102))))))))) :|: x1102 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1102)))))
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + x1104)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1104)))))), x1104 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + (1 + x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(x1100))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1100)))))), x1100 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + (1 + a(1 + (1 + x1101)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x1101)))), x1101 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + x199)))))))))) :|: x199 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x199)))))
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x1103)))))))))))) :|: x1103 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1103))))))
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(a(a(1 + a(1 + a(a(a(x147)))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x147))))))), x147 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(a(1 + a(1 + a(a(x137)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x137)))))), x137 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(a(1 + (1 + a(1 + a(a(1 + x139))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x139))))))), x139 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + a(1 + a(x141)))))))) :|: x141 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x141)))))
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + a(1 + a(1 + a(1 + a(x136)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x136))))))), x136 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + a(1 + a(1 + x149))))))))) :|: x149 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x149))))))
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + x142))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x142))))))), x142 >= 0
   a(z) -{ 1 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + 0))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 1 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + a(a(1 + a(1 + (1 + a(a(x150)))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x150))))))), x150 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + x146))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x146)))), x146 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + a(1 + (1 + a(x144)))))))))) :|: x144 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x144))))))
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + x148))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x148))))))), x148 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(x140)))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x140))))))), x140 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + x143))))))))) :|: x143 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x143)))))
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + x138))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x138)))))), x138 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x145))))))))))))) :|: x145 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x145)))))))
   a(z) -{ 1 }-> 1 + (1 + a(1 + (1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 1 }-> 1 + (1 + (1 + a(1 + (1 + (1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> 1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   encArg(z) -{ 0 }-> a(a(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> a(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> a(1 + encArg(x_1')) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) :|: z = 1 + x_1, x_1 >= 0
   encode_a(z) -{ 0 }-> a(a(encArg(x_12))) :|: z = 1 + x_12, x_12 >= 0
   encode_a(z) -{ 0 }-> a(0) :|: x_1 >= 0, z = x_1
   encode_a(z) -{ 0 }-> a(1 + encArg(x_11)) :|: x_11 >= 0, z = 1 + x_11
   encode_a(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_b(z) -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z = x_1


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

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

(32)
Obligation:
Complexity RNTS consisting of the following rules:

   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(a(a(1 + a(1 + a(a(a(z - 8))))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(a(1 + a(1 + a(a(z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(a(1 + (1 + a(1 + a(a(1 + (z - 8))))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(1 + a(1 + a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(1 + a(1 + a(1 + a(1 + a(z - 8))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(1 + (1 + a(1 + a(1 + (z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(a(1 + (1 + (1 + a(1 + a(1 + (1 + (z - 8))))))))))))) :|: z - 8 >= 0
   a(z) -{ 1 }-> a(a(a(1 + a(1 + a(a(0)))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + a(a(1 + a(1 + (1 + a(a(z - 8)))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + a(1 + a(1 + (1 + a(z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + a(1 + (z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + a(1 + (1 + a(1 + (1 + a(1 + (z - 8)))))))))))) :|: z - 8 >= 0
   a(z) -{ 1 }-> a(a(a(1 + a(1 + a(a(1 + (z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + (1 + a(1 + a(1 + (1 + (1 + a(z - 8)))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + (1 + a(1 + (1 + (z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + (1 + (1 + a(1 + (1 + (1 + (z - 7)))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(1 + a(a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 8)))))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(a(a(1 + a(1 + a(a(a(z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(a(1 + a(1 + a(a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(a(1 + (1 + a(1 + a(a(1 + (z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(1 + a(1 + a(z - 5))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(1 + a(1 + a(1 + a(1 + a(z - 7))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(1 + (1 + a(1 + a(1 + (z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(1 + (1 + (1 + a(1 + a(1 + (1 + (z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 1 }-> a(a(1 + a(1 + a(0)))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + a(a(1 + a(1 + (1 + a(a(z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + a(1 + a(1 + (1 + a(z - 6)))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + a(1 + (z - 4)))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + a(1 + (1 + a(1 + (1 + a(1 + (z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 1 }-> a(a(1 + a(1 + a(1 + (z - 3))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + (1 + a(1 + a(1 + (1 + (1 + a(z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + (1 + a(1 + (1 + (z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + (1 + (z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 7)))))))))))) :|: z - 7 >= 0
   a(z) -{ 1 }-> a(a(1 + (1 + a(1 + a(0))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + a(a(1 + a(1 + (1 + a(a(z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + a(1 + a(1 + (1 + a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + a(1 + (1 + a(1 + (1 + a(1 + (z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + (1 + a(1 + a(1 + (1 + (1 + a(z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + (1 + a(1 + (1 + (z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 1 }-> a(a(1 + (1 + a(1 + a(1 + (1 + (z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + (1 + (z - 6))))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 7))))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(a(a(1 + a(1 + a(a(a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(a(1 + a(1 + a(a(z - 5))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(a(1 + (1 + a(1 + a(a(1 + (z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(a(a(1 + a(1 + a(a(a(z - 8))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(a(1 + a(1 + a(a(z - 7))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(a(1 + (1 + a(1 + a(a(1 + (z - 8))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(z - 4))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(1 + a(1 + a(z - 6))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(1 + a(1 + a(1 + a(1 + a(z - 8))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(1 + (1 + a(1 + a(1 + (z - 7))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + (z - 8))))))))))) :|: z - 8 >= 0
   a(z) -{ 1 }-> a(1 + a(1 + a(1 + a(1 + 0)))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + a(a(1 + a(1 + (1 + a(a(z - 8))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + a(1 + a(1 + (1 + a(z - 7))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + a(1 + (z - 5))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + (z - 8))))))))))) :|: z - 8 >= 0
   a(z) -{ 1 }-> a(1 + a(1 + a(1 + a(1 + (1 + (z - 4)))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(z - 8))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + (z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + (z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 8))))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + a(1 + a(1 + (z - 5))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + (z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 1 }-> a(1 + a(1 + 0)) :|: z - 2 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + a(a(1 + a(1 + (1 + a(a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + a(1 + a(1 + (1 + a(z - 5))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + a(1 + (z - 3))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + (z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 1 }-> a(1 + a(1 + (1 + (z - 2)))) :|: z - 2 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + (1 + a(1 + (1 + (z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + (z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 6))))))))))) :|: z - 6 >= 0
   a(z) -{ 1 }-> a(1 + (1 + a(1 + 0))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + a(a(1 + a(1 + (1 + a(a(z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + a(1 + a(1 + (1 + a(z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + (z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + (1 + a(1 + (1 + (z - 4)))))))) :|: z - 4 >= 0
   a(z) -{ 1 }-> a(1 + (1 + a(1 + (1 + (1 + (z - 3)))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + (z - 5)))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 6)))))))))))) :|: z - 6 >= 0
   a(z) -{ 1 }-> a(1 + (1 + (1 + a(1 + 0)))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(z - 6))))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + (z - 5))))))))))) :|: z - 5 >= 0
   a(z) -{ 1 }-> a(1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 4)))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 6))))))))))))) :|: z - 6 >= 0
   a(z) -{ 0 }-> 0 :|: z >= 0
   a(z) -{ 0 }-> 1 + z :|: z >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(a(a(1 + a(1 + a(a(a(z - 8)))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(a(1 + a(1 + a(a(z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(a(1 + (1 + a(1 + a(a(1 + (z - 8)))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(1 + a(1 + a(z - 6)))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(1 + a(1 + a(1 + a(1 + a(z - 8)))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(1 + (1 + a(1 + a(1 + (z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(a(1 + (1 + (1 + a(1 + a(1 + (1 + (z - 8)))))))))))) :|: z - 8 >= 0
   a(z) -{ 1 }-> 1 + a(a(1 + a(1 + (1 + a(0))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + a(a(1 + a(1 + (1 + a(a(z - 8))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + a(1 + a(1 + (1 + a(z - 7))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + a(1 + (z - 5))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + a(1 + (1 + a(1 + (1 + a(1 + (z - 8))))))))))) :|: z - 8 >= 0
   a(z) -{ 1 }-> 1 + a(a(1 + a(1 + (1 + a(1 + (z - 4)))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + (1 + a(1 + a(1 + (1 + (1 + a(z - 8))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + (1 + a(1 + (1 + (z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + (1 + (1 + a(1 + (1 + (1 + (z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + a(1 + (1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 8))))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(a(a(1 + a(1 + a(a(a(z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(a(1 + a(1 + a(a(z - 6)))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(a(1 + (1 + a(1 + a(a(1 + (z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(1 + a(1 + a(z - 5)))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(1 + a(1 + a(1 + a(1 + a(z - 7)))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(1 + (1 + a(1 + a(1 + (z - 6)))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + (z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 1 }-> 1 + a(1 + a(1 + (1 + 0))) :|: z - 3 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + a(a(1 + a(1 + (1 + a(a(z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + a(z - 6)))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + a(1 + (z - 4)))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + (z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 1 }-> 1 + a(1 + a(1 + (1 + (1 + (z - 3))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(1 + a(1 + (1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 7)))))))))))) :|: z - 7 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (z - 1)) :|: z - 1 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (1 + a(1 + (1 + 0)))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + a(a(1 + a(1 + (1 + a(a(z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + (z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(z - 7))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + (1 + (z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (z - 6))))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 7))))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(a(a(1 + a(1 + a(a(a(z - 8)))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(a(1 + a(1 + a(a(z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(a(1 + (1 + a(1 + a(a(1 + (z - 8)))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + a(1 + a(z - 6)))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + a(1 + a(1 + a(1 + a(z - 8)))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + a(1 + a(1 + (z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + (1 + a(1 + a(1 + (1 + (z - 8)))))))))))) :|: z - 8 >= 0
   a(z) -{ 1 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + 0))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + a(a(1 + a(1 + (1 + a(a(z - 8)))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + a(1 + (1 + a(z - 7)))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + (z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + a(1 + (1 + a(1 + (1 + a(1 + (z - 8)))))))))))) :|: z - 8 >= 0
   a(z) -{ 1 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + (z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + (1 + a(1 + a(1 + (1 + (1 + a(z - 8)))))))))))) :|: z - 8 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (z - 7)))))))))))) :|: z - 7 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 8)))))))))))))) :|: z - 8 >= 0
   a(z) -{ 1 }-> 1 + (1 + a(1 + (1 + (z - 2)))) :|: z - 2 >= 0
   a(z) -{ 1 }-> 1 + (1 + (1 + a(1 + (1 + (1 + (z - 3)))))) :|: z - 3 >= 0
   a(z) -{ 1 }-> 1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + (z - 4)))))))) :|: z - 4 >= 0
   encArg(z) -{ 0 }-> a(a(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> a(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> a(1 + encArg(z - 2)) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encArg(z) -{ 0 }-> 1 + 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 }-> a(1 + encArg(z - 1)) :|: z - 1 >= 0
   encode_a(z) -{ 0 }-> 0 :|: z >= 0
   encode_b(z) -{ 0 }-> 0 :|: z >= 0
   encode_b(z) -{ 0 }-> 1 + encArg(z) :|: z >= 0


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

(33) 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]
   a(v0) -> null_a [0]

And the following fresh constants:    null_encArg, null_encode_a, null_encode_b, null_a

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

(34)
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(b(c_a(c_a(x1))))) -> a(b(a(b(a(b(a(b(a(x1))))))))) [1]
   a(c_a(c_a(c_a(x1)))) -> a(a(b(a(b(a(a(x1))))))) [1]
   a(b(b(c_a(x1)))) -> b(b(b(a(b(b(b(x1))))))) [1]
   a(c_a(c_a(b(c_a(x1))))) -> a(a(b(b(a(b(a(a(b(x1))))))))) [1]
   a(b(b(c_a(c_a(x1))))) -> b(b(a(b(a(b(b(b(a(x1))))))))) [1]
   a(c_a(c_a(x1))) -> a(b(a(b(a(x1))))) [1]
   a(c_a(b(b(c_a(x1))))) -> a(b(b(b(a(b(a(b(b(x1))))))))) [1]
   a(b(c_a(x1))) -> b(b(a(b(b(x1))))) [1]
   a(b(c_a(c_a(x1)))) -> b(a(b(a(b(b(a(x1))))))) [1]
   a(b(b(b(c_a(x1))))) -> b(b(b(b(a(b(b(b(b(x1))))))))) [1]
   a(c_a(x1)) -> b(a(b(x1))) [1]
   a(c_a(c_a(c_a(c_a(x1))))) -> a(a(a(b(a(b(a(a(a(x1))))))))) [1]
   a(b(c_a(b(c_a(x1))))) -> b(a(b(b(a(b(b(a(b(x1))))))))) [1]
   a(c_a(b(c_a(x1)))) -> a(b(b(a(b(a(b(x1))))))) [1]
   a(b(c_a(c_a(c_a(x1))))) -> b(a(a(b(a(b(b(a(a(x1))))))))) [1]
   encArg(b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_a(x_1)) -> a(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]
   encArg(v0) -> null_encArg [0]
   encode_a(v0) -> null_encode_a [0]
   encode_b(v0) -> null_encode_b [0]
   a(v0) -> null_a [0]

The TRS has the following type information:
a :: c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
c_a :: c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
b :: c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
encArg :: c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
cons_a :: c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
encode_a :: c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
encode_b :: c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
null_encArg :: c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
null_encode_a :: c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
null_encode_b :: c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
null_a :: c_a:b:cons_a:null_encArg:null_encode_a:null_encode_b:null_a

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

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

   null_encArg => 0
   null_encode_a => 0
   null_encode_b => 0
   null_a => 0

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

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

   a(z) -{ 1 }-> a(a(a(1 + a(1 + a(a(a(x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 1 }-> a(a(1 + a(1 + a(a(x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> a(a(1 + (1 + a(1 + a(a(1 + x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 1 }-> a(1 + a(1 + a(x1))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 1 }-> a(1 + a(1 + a(1 + a(1 + a(x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 1 }-> a(1 + (1 + a(1 + a(1 + x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> a(1 + (1 + (1 + a(1 + a(1 + (1 + x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   a(z) -{ 1 }-> 1 + a(a(1 + a(1 + (1 + a(a(x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 1 }-> 1 + a(1 + x1) :|: x1 >= 0, z = 1 + x1
   a(z) -{ 1 }-> 1 + a(1 + a(1 + (1 + a(x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> 1 + a(1 + (1 + a(1 + (1 + a(1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 1 }-> 1 + (1 + a(1 + a(1 + (1 + (1 + a(x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   a(z) -{ 1 }-> 1 + (1 + a(1 + (1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 1 }-> 1 + (1 + (1 + a(1 + (1 + (1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> 1 + (1 + (1 + (1 + a(1 + (1 + (1 + (1 + x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   encArg(z) -{ 0 }-> a(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) :|: z = 1 + x_1, x_1 >= 0
   encode_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 }-> 0 :|: v0 >= 0, z = v0
   encode_b(z) -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z = x_1

Only complete derivations are relevant for the runtime complexity.

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

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   ENCODE_A(z0) -> c2(A(encArg(z0)), ENCARG(z0))
   ENCODE_B(z0) -> c3(ENCARG(z0))
   A(z0) -> c4
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(b(b(c_a(z0))))) -> c14(A(b(b(b(b(z0))))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
S tuples:
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(b(b(c_a(z0))))) -> c14(A(b(b(b(b(z0))))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
K tuples:none
Defined Rule Symbols:   a_1, encArg_1, encode_a_1, encode_b_1

Defined Pair Symbols:   ENCARG_1, ENCODE_A_1, ENCODE_B_1, A_1

Compound Symbols:   c_1, c1_2, c2_2, c3_1, c4, c5_5, c6_5, c7_1, c8_5, c9_3, c10_3, c11_3, c12_1, c13_3, c14_1, c15_1, c16_7, c17_3, c18_3, c19_5


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

(39) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 1 leading nodes:
   ENCODE_B(z0) -> c3(ENCARG(z0))
Removed 1 trailing nodes:
   A(z0) -> c4

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   ENCODE_A(z0) -> c2(A(encArg(z0)), ENCARG(z0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(b(b(c_a(z0))))) -> c14(A(b(b(b(b(z0))))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
S tuples:
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(b(b(c_a(z0))))) -> c14(A(b(b(b(b(z0))))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
K tuples:none
Defined Rule Symbols:   a_1, encArg_1, encode_a_1, encode_b_1

Defined Pair Symbols:   ENCARG_1, ENCODE_A_1, A_1

Compound Symbols:   c_1, c1_2, c2_2, c5_5, c6_5, c7_1, c8_5, c9_3, c10_3, c11_3, c12_1, c13_3, c14_1, c15_1, c16_7, c17_3, c18_3, c19_5


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

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   ENCODE_A(z0) -> c2(A(encArg(z0)), ENCARG(z0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
S tuples:
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
K tuples:none
Defined Rule Symbols:   a_1, encArg_1, encode_a_1, encode_b_1

Defined Pair Symbols:   ENCARG_1, ENCODE_A_1, A_1

Compound Symbols:   c_1, c1_2, c2_2, c5_5, c6_5, c7_1, c8_5, c9_3, c10_3, c11_3, c12_1, c13_3, c15_1, c16_7, c17_3, c18_3, c19_5, c14


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

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCODE_A(z0) -> c3(ENCARG(z0))
S tuples:
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
K tuples:none
Defined Rule Symbols:   a_1, encArg_1, encode_a_1, encode_b_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c1_2, c5_5, c6_5, c7_1, c8_5, c9_3, c10_3, c11_3, c12_1, c13_3, c15_1, c16_7, c17_3, c18_3, c19_5, c14, c3_1


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

(45) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 1 leading nodes:
   ENCODE_A(z0) -> c3(ENCARG(z0))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
S tuples:
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
K tuples:none
Defined Rule Symbols:   a_1, encArg_1, encode_a_1, encode_b_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c1_2, c5_5, c6_5, c7_1, c8_5, c9_3, c10_3, c11_3, c12_1, c13_3, c15_1, c16_7, c17_3, c18_3, c19_5, c14, c3_1


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

(47) 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))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
S tuples:
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c1_2, c5_5, c6_5, c7_1, c8_5, c9_3, c10_3, c11_3, c12_1, c13_3, c15_1, c16_7, c17_3, c18_3, c19_5, c14, c3_1


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
S tuples:
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c5_5, c6_5, c7_1, c8_5, c9_3, c10_3, c11_3, c12_1, c13_3, c15_1, c16_7, c17_3, c18_3, c19_5, c14, c3_1, c1_2


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

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0)) by 
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
S tuples:
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c6_5, c7_1, c8_5, c9_3, c10_3, c11_3, c12_1, c13_3, c15_1, c16_7, c17_3, c18_3, c19_5, c14, c3_1, c1_2, c5_5


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

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0)) by 
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c8_5, c9_3, c10_3, c11_3, c12_1, c13_3, c15_1, c16_7, c17_3, c18_3, c19_5, c14, c3_1, c1_2, c5_5, c6_5


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

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(c_a(b(c_a(z0))))) -> c8(A(a(b(b(a(b(a(a(b(z0))))))))), A(b(b(a(b(a(a(b(z0)))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0))) by 
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c9_3, c10_3, c11_3, c12_1, c13_3, c15_1, c16_7, c17_3, c18_3, c19_5, c14, c3_1, c1_2, c5_5, c6_5, c8_5


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(a(z0))))))), A(b(b(b(a(z0))))), A(z0)) by 
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c10_3, c11_3, c12_1, c13_3, c15_1, c16_7, c17_3, c18_3, c19_5, c14, c3_1, c1_2, c5_5, c6_5, c8_5, c9_3


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

(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(c_a(z0))) -> c10(A(b(a(b(a(z0))))), A(b(a(z0))), A(z0)) by 
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c11_3, c12_1, c13_3, c15_1, c16_7, c17_3, c18_3, c19_5, c14, c3_1, c1_2, c5_5, c6_5, c8_5, c9_3, c10_3


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

(61) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(b(c_a(z0))))) -> c11(A(b(b(b(a(b(a(b(b(z0))))))))), A(b(a(b(b(z0))))), A(b(b(z0)))) by 
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))

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

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c13_3, c15_1, c16_7, c17_3, c18_3, c19_5, c14, c3_1, c1_2, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3


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

(63) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(a(z0)))))), A(b(b(a(z0)))), A(z0)) by 
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c16_7, c17_3, c18_3, c19_5, c14, c3_1, c1_2, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3


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

(65) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0)) by 
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))

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

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c17_3, c18_3, c19_5, c14, c3_1, c1_2, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7


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

(67) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(b(b(a(b(z0))))), A(b(z0))) by 
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))

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

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c18_3, c19_5, c14, c3_1, c1_2, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3


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

(69) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(z0)))) -> c18(A(b(b(a(b(a(b(z0))))))), A(b(a(b(z0)))), A(b(z0))) by 
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))

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

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c19_5, c14, c3_1, c1_2, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3


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

(71) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0)) by 
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c3_1, c1_2, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5


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

(73) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_A(z0) -> c3(A(encArg(z0))) by 
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))

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

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c1_2, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1


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

(75) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(b(z0))) -> c1(A(b(encArg(z0))), ENCARG(b(z0))) by 
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))

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

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0)))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c1_2, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_1


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

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(cons_a(z0))) -> c1(A(a(encArg(z0))), ENCARG(cons_a(z0))) by 
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))

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

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1


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

(79) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0)) by 
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))

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

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1


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

(81) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0)) by 
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1


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

(83) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0)) by 
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1


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

(85) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0)) by 
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1, c5_2


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

(87) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0))))) by 
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1, c5_2, c5_4


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

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0)))))) by 
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1, c5_2, c5_4


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

(91) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0)))) by 
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1, c5_2, c5_4


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

(93) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0))))) by 
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))

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

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1, c5_2, c5_4


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

(95) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0)))))) by 
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(c_a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))

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

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(c_a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(c_a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1, c5_2, c5_4


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

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0)))))) by 
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(b(a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(c_a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(c_a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(a(b(c_a(b(c_a(c_a(z0)))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(b(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))), A(b(c_a(b(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))

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

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(c_a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(b(a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(c_a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(c_a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(a(b(c_a(b(c_a(c_a(z0)))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(b(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))), A(b(c_a(b(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(c_a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(b(a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(c_a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(c_a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(a(b(c_a(b(c_a(c_a(z0)))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(b(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))), A(b(c_a(b(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1, c5_2, c5_4


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

(99) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0)))))) by 
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(c_a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(c_a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(c_a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))

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

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(c_a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(b(a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(c_a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(c_a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(a(b(c_a(b(c_a(c_a(z0)))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(b(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))), A(b(c_a(b(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(c_a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(c_a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(c_a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(c_a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(b(a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(c_a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(c_a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(a(b(c_a(b(c_a(c_a(z0)))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(b(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))), A(b(c_a(b(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(c_a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(c_a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(c_a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1, c5_2, c5_4


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

(101) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0)))))) by 
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(c_a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(c_a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(c_a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))), A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(c_a(b(c_a(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))

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

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(c_a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(b(a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(c_a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(c_a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(a(b(c_a(b(c_a(c_a(z0)))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(b(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))), A(b(c_a(b(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(c_a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(c_a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(c_a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(c_a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(c_a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(c_a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))), A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(c_a(b(c_a(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(c_a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(b(a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(c_a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(c_a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(a(b(c_a(b(c_a(c_a(z0)))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(b(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))), A(b(c_a(b(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(c_a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(c_a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(c_a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(c_a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(c_a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(c_a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))), A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(c_a(b(c_a(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1, c5_2, c5_4


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

(103) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0))))) by 
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(a(b(a(b(a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(a(c_a(b(a(b(a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(c_a(b(a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(c_a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(c_a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(c_a(c_a(c_a(b(b(c_a(z0))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(c_a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))), A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(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(z0))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(c_a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(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)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))

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

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(b(z0)) -> b(encArg(z0))
   encArg(cons_a(z0)) -> a(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(b(c_a(c_a(z0))))) -> a(b(a(b(a(b(a(b(a(z0)))))))))
   a(c_a(c_a(c_a(z0)))) -> a(a(b(a(b(a(a(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(b(a(b(b(b(z0)))))))
   a(c_a(c_a(b(c_a(z0))))) -> a(a(b(b(a(b(a(a(b(z0)))))))))
   a(b(b(c_a(c_a(z0))))) -> b(b(a(b(a(b(b(b(a(z0)))))))))
   a(c_a(c_a(z0))) -> a(b(a(b(a(z0)))))
   a(c_a(b(b(c_a(z0))))) -> a(b(b(b(a(b(a(b(b(z0)))))))))
   a(b(c_a(z0))) -> b(b(a(b(b(z0)))))
   a(b(c_a(c_a(z0)))) -> b(a(b(a(b(b(a(z0)))))))
   a(b(b(b(c_a(z0))))) -> b(b(b(b(a(b(b(b(b(z0)))))))))
   a(c_a(z0)) -> b(a(b(z0)))
   a(c_a(c_a(c_a(c_a(z0))))) -> a(a(a(b(a(b(a(a(a(z0)))))))))
   a(b(c_a(b(c_a(z0))))) -> b(a(b(b(a(b(b(a(b(z0)))))))))
   a(c_a(b(c_a(z0)))) -> a(b(b(a(b(a(b(z0)))))))
   a(b(c_a(c_a(c_a(z0))))) -> b(a(a(b(a(b(b(a(a(z0)))))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   ENCODE_A(b(z0)) -> c3(A(b(encArg(z0))))
   ENCODE_A(cons_a(z0)) -> c3(A(a(encArg(z0))))
   ENCARG(cons_a(b(b(z0)))) -> c1(A(b(b(encArg(z0)))), ENCARG(b(b(z0))))
   ENCARG(cons_a(b(cons_a(z0)))) -> c1(A(b(a(encArg(z0)))), ENCARG(b(cons_a(z0))))
   ENCARG(cons_a(b(x0))) -> c1(ENCARG(b(x0)))
   ENCARG(cons_a(cons_a(x0))) -> c1(A(c_a(encArg(x0))), ENCARG(cons_a(x0)))
   ENCARG(cons_a(cons_a(b(z0)))) -> c1(A(a(b(encArg(z0)))), ENCARG(cons_a(b(z0))))
   ENCARG(cons_a(cons_a(cons_a(z0)))) -> c1(A(a(a(encArg(z0)))), ENCARG(cons_a(cons_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(c_a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(b(a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(c_a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(c_a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(a(b(c_a(b(c_a(c_a(z0)))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(b(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))), A(b(c_a(b(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(c_a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(c_a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(c_a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(c_a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(c_a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(c_a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))), A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(c_a(b(c_a(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(a(b(a(b(a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(a(c_a(b(a(b(a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(c_a(b(a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(c_a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(c_a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(c_a(c_a(c_a(b(b(c_a(z0))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(c_a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))), A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(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(z0))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(c_a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(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)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
S tuples:
   A(b(b(c_a(z0)))) -> c7(A(b(b(b(z0)))))
   A(b(c_a(z0))) -> c12(A(b(b(z0))))
   A(c_a(z0)) -> c15(A(b(z0)))
   A(b(b(b(c_a(z0))))) -> c14
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c6(A(c_a(b(a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(c_a(b(a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(x0)))) -> c6(A(a(b(a(b(c_a(a(x0))))))), A(b(a(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(z0)))) -> c6(A(a(b(a(b(a(c_a(z0))))))), A(b(a(b(a(a(z0)))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(a(a(b(b(c_a(z0))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(a(a(b(b(c_a(c_a(z0)))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c6(A(a(b(a(b(a(b(b(a(b(b(z0))))))))))), A(b(a(b(a(a(b(c_a(z0)))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(a(b(c_a(c_a(z0))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(a(a(b(b(b(c_a(z0)))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(a(b(c_a(b(c_a(z0)))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(a(b(a(a(c_a(b(c_a(c_a(z0)))))))))), A(b(a(a(c_a(b(c_a(c_a(z0)))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(z0))))))))), A(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)))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(a(c_a(c_a(b(c_a(z0)))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c6(A(a(b(a(b(a(a(b(a(b(a(z0))))))))))), A(b(a(b(a(a(c_a(c_a(z0)))))))), A(b(a(a(c_a(c_a(z0)))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(a(b(a(a(c_a(b(b(c_a(z0)))))))))), A(b(a(a(c_a(b(b(c_a(z0)))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c6(A(a(b(a(b(a(b(a(b(z0))))))))), A(b(a(b(a(a(c_a(z0))))))), A(b(a(a(c_a(z0))))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c6(A(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(a(b(a(a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(a(c_a(c_a(c_a(c_a(z0)))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c6(A(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))), A(b(a(b(a(a(c_a(b(c_a(z0))))))))), A(b(a(a(c_a(b(c_a(z0))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(c_a(b(b(a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(c_a(b(a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(c_a(a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(x0))))) -> c8(A(a(b(b(a(b(a(c_a(b(x0))))))))), A(b(b(a(b(a(a(b(x0)))))))), A(b(a(a(b(x0))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(b(a(b(a(a(b(b(c_a(z0)))))))))), A(b(a(a(b(b(c_a(z0))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(b(b(c_a(c_a(z0)))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(b(b(b(c_a(z0)))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c8(A(a(b(b(a(b(a(b(b(a(b(b(z0)))))))))))), A(b(b(a(b(a(a(b(c_a(z0))))))))), A(b(a(a(b(c_a(z0)))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c8(A(a(b(b(a(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(b(c_a(c_a(z0))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(b(c_a(b(c_a(z0)))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c8(A(a(b(b(a(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(b(a(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(b(c_a(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(c_a(b(b(b(a(x0))))))), A(b(b(b(a(x0))))), A(x0))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(a(z0))))), A(z0))
   A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(b(a(b(b(b(c_a(z0))))))))), A(b(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(b(b(a(c_a(b(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))), A(b(b(b(a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(b(a(b(b(c_a(z0)))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))), A(b(b(b(a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(b(a(b(b(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(a(b(b(b(a(b(a(b(a(z0))))))))))), A(b(b(b(a(c_a(c_a(z0))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))), A(b(b(b(a(c_a(b(b(c_a(z0))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(a(b(b(b(b(b(a(b(b(z0))))))))))), A(b(b(b(a(b(c_a(z0))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(b(a(b(c_a(c_a(z0)))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(a(b(b(b(b(a(b(z0))))))))), A(b(b(b(a(c_a(z0)))))), A(c_a(z0)))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))), A(b(b(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(b(a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))), A(b(b(b(a(c_a(b(c_a(z0)))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(x0))) -> c10(A(b(c_a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(c_a(z0))) -> c10(A(b(a(b(c_a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c10(A(b(a(b(b(b(b(a(b(b(b(z0))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(b(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(b(c_a(z0))))) -> c10(A(b(a(b(b(b(a(b(b(z0))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(c_a(b(c_a(c_a(z0)))))) -> c10(A(b(a(b(b(a(b(a(b(b(a(z0))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(b(b(c_a(z0))))))) -> c10(A(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(b(c_a(z0))))))) -> c10(A(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(b(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(a(b(a(a(b(a(b(a(a(z0))))))))))), A(b(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(b(c_a(z0))))))) -> c10(A(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c10(A(b(a(b(a(b(a(b(a(z0))))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(z0)))) -> c10(A(b(a(b(b(a(b(z0))))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c10(A(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c10(A(b(a(b(a(b(b(a(b(a(b(z0))))))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(c_a(b(a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(x0))))) -> c11(A(b(b(b(a(b(c_a(b(b(x0))))))))), A(b(a(b(b(x0))))), A(b(b(x0))))
   A(c_a(b(b(c_a(c_a(z0)))))) -> c11(A(b(b(b(a(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(c_a(c_a(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(b(c_a(b(c_a(z0))))))) -> c11(A(b(b(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(x0)))) -> c13(A(b(c_a(b(b(a(x0)))))), A(b(b(a(x0)))), A(x0))
   A(b(c_a(c_a(z0)))) -> c13(A(b(a(b(b(c_a(z0)))))), A(b(b(a(z0)))), A(z0))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c13(A(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(a(b(a(b(a(b(a(z0)))))))))))))), A(b(b(a(c_a(b(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(a(a(b(a(b(a(a(z0)))))))))))), A(b(b(a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(b(b(a(b(a(a(b(z0)))))))))))))), A(b(b(a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c13(A(b(a(b(b(a(b(a(b(a(z0)))))))))), A(b(b(a(c_a(c_a(z0)))))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c13(A(b(a(b(b(a(b(b(b(a(b(a(b(b(z0)))))))))))))), A(b(b(a(c_a(b(b(c_a(z0)))))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c13(A(b(a(b(b(b(b(a(b(b(z0)))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c13(A(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c13(A(b(a(b(b(b(a(b(z0)))))))), A(b(b(a(c_a(z0))))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(a(a(a(b(a(b(a(a(a(z0)))))))))))))), A(b(b(a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c13(A(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))), A(b(b(a(c_a(b(c_a(z0))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))) -> c13(A(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(c_a(a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(c_a(b(a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(c_a(b(a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(c_a(a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(x0))))) -> c16(A(a(a(b(a(b(a(c_a(a(x0))))))))), A(a(b(a(b(a(a(a(x0)))))))), A(b(a(b(a(a(a(x0))))))), A(b(a(a(a(x0))))), A(a(a(x0))), A(a(x0)), A(x0))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(a(b(a(b(a(a(c_a(z0))))))))), A(a(b(a(b(a(a(a(z0)))))))), A(b(a(b(a(a(a(z0))))))), A(b(a(a(a(z0))))), A(a(a(z0))), A(a(z0)), A(z0))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(a(c_a(b(c_a(c_a(z0))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(a(b(a(a(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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(b(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(a(b(b(b(z0))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(z0))))))))))), A(b(a(b(a(a(a(b(b(c_a(z0)))))))))), A(b(a(a(a(b(b(c_a(z0)))))))), A(a(a(b(b(c_a(z0)))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(a(c_a(c_a(b(c_a(z0))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(c_a(c_a(z0))))))))))), A(b(a(a(a(b(b(c_a(c_a(z0))))))))), A(a(a(b(b(c_a(c_a(z0))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(a(b(a(b(a(z0))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(z0)))))))))), A(b(a(b(a(a(a(c_a(c_a(z0))))))))), A(b(a(a(a(c_a(c_a(z0))))))), A(a(a(c_a(c_a(z0))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(b(b(c_a(z0))))))))))), A(b(a(a(a(c_a(b(b(c_a(z0))))))))), A(a(a(c_a(b(b(c_a(z0))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(z0))))))) -> c16(A(a(a(b(a(b(a(a(b(b(a(b(b(z0))))))))))))), A(a(b(a(b(a(a(a(b(c_a(z0)))))))))), A(b(a(b(a(a(a(b(c_a(z0))))))))), A(b(a(a(a(b(c_a(z0))))))), A(a(a(b(c_a(z0))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(a(b(b(a(z0))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(z0)))))))))), A(b(a(a(a(b(c_a(c_a(z0)))))))), A(a(a(b(c_a(c_a(z0)))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(b(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(b(b(c_a(z0))))))))))), A(b(a(a(a(b(b(b(c_a(z0))))))))), A(a(a(b(b(b(c_a(z0))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(z0))))))))))), A(a(b(a(b(a(a(a(c_a(z0))))))))), A(b(a(b(a(a(a(c_a(z0)))))))), A(b(a(a(a(c_a(z0)))))), A(a(a(c_a(z0)))), A(a(c_a(z0))), A(c_a(z0)))
   A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(a(c_a(c_a(c_a(c_a(z0))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(b(c_a(z0))))))))))), A(b(a(a(a(b(c_a(b(c_a(z0))))))))), A(a(a(b(c_a(b(c_a(z0))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c16(A(a(a(b(a(b(a(a(a(b(b(a(b(a(b(z0))))))))))))))), A(a(b(a(b(a(a(a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(a(a(c_a(b(c_a(z0)))))))))), A(b(a(a(a(c_a(b(c_a(z0)))))))), A(a(a(c_a(b(c_a(z0)))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c16(A(a(a(b(a(b(a(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(a(b(a(b(a(a(a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(a(b(c_a(c_a(c_a(z0))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(c_a(b(b(a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(x0))))) -> c17(A(b(b(a(b(b(c_a(b(x0)))))))), A(b(b(a(b(x0))))), A(b(x0)))
   A(b(c_a(b(c_a(b(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))), A(b(b(a(b(b(c_a(z0))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))), A(b(b(a(b(b(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(b(c_a(b(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))), A(b(b(a(b(b(b(c_a(z0)))))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(a(b(b(b(b(a(b(b(z0))))))))))), A(b(b(a(b(c_a(z0)))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(c_a(c_a(z0))))))) -> c17(A(b(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(b(a(b(c_a(c_a(z0))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(a(b(c_a(b(c_a(z0)))))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))) -> c17(A(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(b(a(b(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(c_a(b(a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(x0)))) -> c18(A(b(b(a(b(c_a(b(x0))))))), A(b(a(b(x0)))), A(b(x0)))
   A(c_a(b(c_a(b(c_a(z0)))))) -> c18(A(b(b(a(b(b(b(b(a(b(b(b(z0)))))))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(b(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(z0))))) -> c18(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c18(A(b(b(a(b(b(a(b(a(b(b(a(z0)))))))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c18(A(b(b(a(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(c_a(b(a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(c_a(b(b(a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(x0))))) -> c19(A(a(b(a(b(b(c_a(a(x0)))))))), A(b(a(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(c_a(z0))))) -> c19(A(a(b(a(b(b(a(c_a(z0)))))))), A(b(a(b(b(a(a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(b(b(a(b(b(b(z0)))))))))))))), A(b(a(b(b(a(a(b(b(c_a(z0)))))))))), A(b(b(a(a(b(b(c_a(z0)))))))), A(a(b(b(c_a(z0))))), A(b(b(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(c_a(c_a(z0))))))))))), A(b(b(a(a(b(b(c_a(c_a(z0))))))))), A(a(b(b(c_a(c_a(z0)))))), A(b(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(b(b(a(b(b(z0)))))))))))), A(b(a(b(b(a(a(b(c_a(z0))))))))), A(b(b(a(a(b(c_a(z0))))))), A(a(b(c_a(z0)))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(b(a(b(a(b(b(a(z0)))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(z0)))))))))), A(b(b(a(a(b(c_a(c_a(z0)))))))), A(a(b(c_a(c_a(z0))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(b(b(c_a(z0))))))))))), A(b(b(a(a(b(b(b(c_a(z0))))))))), A(a(b(b(b(c_a(z0)))))), A(b(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(b(c_a(z0))))))))))), A(b(b(a(a(b(c_a(b(c_a(z0))))))))), A(a(b(c_a(b(c_a(z0)))))), A(b(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(b(c_a(c_a(c_a(z0))))))))), A(a(b(c_a(c_a(c_a(z0)))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(b(c_a(c_a(z0))))))))), A(a(c_a(b(c_a(c_a(z0)))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(a(b(a(b(a(a(z0)))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(z0)))))))))), A(b(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)))))
   A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(b(c_a(z0))))))))), A(a(c_a(c_a(b(c_a(z0)))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(c_a(z0))))))) -> c19(A(a(b(a(b(b(a(a(b(a(b(a(z0)))))))))))), A(b(a(b(b(a(a(c_a(c_a(z0))))))))), A(b(b(a(a(c_a(c_a(z0))))))), A(a(c_a(c_a(z0)))), A(c_a(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(b(b(c_a(z0))))))))))), A(b(b(a(a(c_a(b(b(c_a(z0))))))))), A(a(c_a(b(b(c_a(z0)))))), A(c_a(b(b(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c19(A(a(b(a(b(b(a(b(a(b(z0)))))))))), A(b(a(b(b(a(a(c_a(z0)))))))), A(b(b(a(a(c_a(z0)))))), A(a(c_a(z0))), A(c_a(z0)))
   A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c19(A(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0)))))))))))))))), A(b(a(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(a(a(c_a(c_a(c_a(c_a(z0))))))))), A(a(c_a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))) -> c19(A(a(b(a(b(b(a(a(b(b(a(b(a(b(z0)))))))))))))), A(b(a(b(b(a(a(c_a(b(c_a(z0)))))))))), A(b(b(a(a(c_a(b(c_a(z0)))))))), A(a(c_a(b(c_a(z0))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(c_a(b(a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(c_a(b(a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(c_a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(c_a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(c_a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(c_a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(c_a(b(c_a(b(a(x0))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(c_a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(c_a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(c_a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(c_a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(b(b(a(b(b(b(a(x0))))))))))), A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(a(b(b(b(z0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(z0)))))))))), A(b(a(b(a(b(b(c_a(z0)))))))), A(b(a(b(b(c_a(z0)))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(z0))))))))))), A(b(a(b(a(b(b(b(c_a(z0))))))))), A(b(a(b(b(b(c_a(z0))))))), A(b(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(a(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(b(c_a(z0))))))))), A(b(a(c_a(c_a(b(c_a(z0))))))), A(c_a(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(a(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(a(c_a(b(b(c_a(z0))))))))), A(b(a(c_a(b(b(c_a(z0))))))), A(c_a(b(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(c_a(b(b(a(b(z0))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(c_a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c5(A(b(a(b(a(b(c_a(b(a(b(b(a(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(z0)))))))))), A(b(a(b(a(c_a(b(c_a(z0)))))))), A(b(a(c_a(b(c_a(z0)))))), A(c_a(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c5(A(b(a(b(a(b(b(b(a(b(b(z0))))))))))), A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c5(A(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))), A(b(a(b(a(b(a(c_a(z0)))))))), A(b(a(b(a(c_a(z0)))))), A(b(a(c_a(z0)))), A(c_a(z0)))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(z0))))))))), A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(c_a(z0))))), A(b(c_a(z0))))
   A(c_a(b(c_a(c_a(c_a(c_a(z0))))))) -> c5(A(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(z0))))))))), A(b(a(b(a(c_a(c_a(z0))))))), A(b(a(c_a(c_a(z0))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(c_a(x0))))) -> c5(A(b(a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(c_a(b(b(b(x0))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(x0)))))))))), A(b(a(b(a(b(b(c_a(x0)))))))), A(b(a(b(b(c_a(x0)))))), A(b(b(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(c_a(b(b(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(z0))))))))))), A(b(a(b(a(b(b(c_a(c_a(z0))))))))), A(b(a(b(b(c_a(c_a(z0))))))), A(b(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(z0)))))))))), A(b(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(z0))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(z0))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(z0)))))))))), A(b(a(b(b(c_a(c_a(c_a(z0)))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(c_a(x0))))))))))), A(b(a(b(a(b(b(c_a(c_a(x0))))))))), A(b(a(b(b(c_a(c_a(x0))))))), A(b(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(b(b(x0))))))))))))), A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(a(b(b(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(a(b(c_a(b(c_a(z0))))))))), A(b(a(b(c_a(b(c_a(z0))))))), A(b(c_a(b(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(x0))))))) -> c5(A(b(a(b(a(b(a(b(c_a(x0))))))))), A(b(a(b(a(b(c_a(x0))))))), A(b(a(b(c_a(x0))))), A(b(c_a(x0))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(c_a(b(b(a(x0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(z0)))))))))), A(b(a(b(a(b(c_a(c_a(z0)))))))), A(b(a(b(c_a(c_a(z0)))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(z0))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(a(b(c_a(c_a(b(c_a(z0)))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(z0))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(b(b(c_a(z0)))))))))), A(b(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(x0)))))))))), A(b(a(b(a(b(c_a(c_a(x0)))))))), A(b(a(b(c_a(c_a(x0)))))), A(b(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(b(b(c_a(b(b(b(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(b(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(b(c_a(x0))))))))))), A(b(a(b(a(b(b(b(c_a(x0))))))))), A(b(a(b(b(b(c_a(x0))))))), A(b(b(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(b(b(a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(c_a(b(b(a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(c_a(b(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(a(b(b(b(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(z0))))))))), A(b(c_a(b(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(a(b(b(b(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(a(b(b(z0)))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(z0)))))))))), A(b(a(b(c_a(b(c_a(c_a(z0)))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(a(b(b(a(z0)))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(z0))))))))), A(b(c_a(b(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(b(b(b(a(b(b(b(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(b(b(c_a(z0)))))))))), A(b(c_a(b(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(b(b(a(b(b(a(b(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(b(b(a(b(b(b(a(a(b(a(b(b(a(a(z0)))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(b(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(c_a(x0))))))))))), A(b(a(b(a(b(c_a(b(c_a(x0))))))))), A(b(a(b(c_a(b(c_a(x0))))))), A(b(c_a(b(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(c_a(a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(c_a(b(a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(c_a(b(b(a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(c_a(a(x0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(z0))))))))), A(b(a(b(c_a(c_a(c_a(z0))))))), A(b(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(z0))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(z0))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(c_a(c_a(c_a(c_a(z0)))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(c_a(c_a(x0))))))))))), A(b(a(b(a(b(c_a(c_a(c_a(x0))))))))), A(b(a(b(c_a(c_a(c_a(x0))))))), A(b(c_a(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(c_a(b(a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(c_a(b(a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(c_a(b(a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(c_a(b(a(x0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(c_a(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(z0))))))))), A(b(a(c_a(b(c_a(c_a(z0))))))), A(c_a(b(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(b(a(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))), A(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(z0))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(a(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))), A(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(b(a(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(z0))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(b(b(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(b(a(c_a(b(c_a(c_a(c_a(z0)))))))), A(c_a(b(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))), A(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(b(c_a(c_a(x0))))))))) -> c5(A(b(a(b(a(b(a(c_a(b(c_a(c_a(x0))))))))))), A(b(a(b(a(c_a(b(c_a(c_a(x0))))))))), A(b(a(c_a(b(c_a(c_a(x0))))))), A(c_a(b(c_a(c_a(x0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(c_a(a(b(a(b(a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(a(c_a(b(a(b(a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(c_a(b(a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(c_a(a(x0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(c_a(z0))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(z0)))))))))), A(b(a(b(a(c_a(c_a(c_a(z0)))))))), A(b(a(c_a(c_a(c_a(z0)))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(b(b(a(b(b(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(b(c_a(z0))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(b(c_a(z0))))))))))), A(b(a(c_a(c_a(c_a(b(b(c_a(z0))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(b(a(b(a(b(b(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))), A(c_a(c_a(c_a(b(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(b(a(b(b(z0))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(b(a(c_a(c_a(c_a(b(c_a(z0)))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(a(b(a(b(b(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))))), A(b(a(c_a(c_a(c_a(b(c_a(c_a(z0))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(b(b(b(a(b(b(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))), A(c_a(c_a(c_a(b(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(a(b(b(a(b(b(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))), A(c_a(c_a(c_a(b(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(a(a(b(a(b(b(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))), A(c_a(c_a(c_a(b(c_a(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(b(a(b(a(b(a(b(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))), A(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(a(b(a(b(a(a(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(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(z0))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(a(b(b(a(b(a(a(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))), A(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(b(a(b(a(z0))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(c_a(z0)))))))))), A(b(a(c_a(c_a(c_a(c_a(c_a(z0)))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(b(b(b(a(b(a(b(b(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))))), A(b(a(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))), A(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(b(a(b(z0))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(z0))))))))), A(b(a(c_a(c_a(c_a(c_a(z0))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(a(a(b(a(b(a(a(a(z0))))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), A(b(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)))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))) -> c5(A(b(a(b(a(b(a(b(a(a(b(a(b(a(a(b(b(a(b(a(b(z0))))))))))))))))))))), A(b(a(b(a(b(a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))))), A(b(a(b(a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))))), A(b(a(c_a(c_a(c_a(c_a(b(c_a(z0))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(c_a(b(c_a(c_a(c_a(c_a(c_a(x0)))))))) -> c5(A(b(a(b(a(b(a(c_a(c_a(c_a(x0)))))))))), A(b(a(b(a(c_a(c_a(c_a(x0)))))))), A(b(a(c_a(c_a(c_a(x0)))))), A(c_a(c_a(c_a(x0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1

Defined Pair Symbols:   ENCARG_1, A_1, ENCODE_A_1

Compound Symbols:   c_1, c7_1, c12_1, c15_1, c14, c5_5, c6_5, c8_5, c9_3, c10_3, c11_3, c13_3, c16_7, c17_3, c18_3, c19_5, c3_1, c1_2, c1_1, c5_2, c5_4