/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 55 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
    (13) RewriteLemmaProof [LOWER BOUND(ID), 511 ms]
    (14) BOUNDS(1, INF)
(15) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(16) CpxTRS
(17) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(18) CpxRelTRS
    (19) RcToIrcProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxRelTRS
    (21) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 4 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 17 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), 1 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 32 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 30 ms]
        (48) CdtProblem
        (49) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 45 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 69 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 11 ms]
        (56) CdtProblem
        (57) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 6 ms]
        (58) CdtProblem
        (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (60) CdtProblem
        (61) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (62) CdtProblem
        (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 44 ms]
        (64) CdtProblem
        (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (66) CdtProblem
        (67) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (68) CdtProblem
        (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 86 ms]
        (70) CdtProblem
        (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 16 ms]
        (72) CdtProblem
        (73) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 9 ms]
        (74) CdtProblem
        (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 187 ms]
        (76) CdtProblem
        (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5 ms]
        (78) CdtProblem
        (79) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 6 ms]
        (80) CdtProblem
        (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 110 ms]
        (82) CdtProblem
        (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 166 ms]
        (84) CdtProblem
        (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 147 ms]
        (86) CdtProblem
        (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 149 ms]
        (88) CdtProblem
        (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 79 ms]
        (90) CdtProblem
        (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 104 ms]
        (92) CdtProblem
        (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 43 ms]
        (94) CdtProblem
        (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 153 ms]
        (96) CdtProblem
        (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 86 ms]
        (98) CdtProblem
        (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 201 ms]
        (100) CdtProblem
        (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 99 ms]
        (102) CdtProblem
        (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 329 ms]
        (104) CdtProblem
        (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 345 ms]
        (106) CdtProblem
        (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 364 ms]
        (108) CdtProblem
        (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 366 ms]
        (110) CdtProblem
        (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 482 ms]
        (112) CdtProblem
        (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 479 ms]
        (114) 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(x1) -> b(x1)
   a(a(x1)) -> a(b(a(x1)))
   a(b(x1)) -> b(b(b(x1)))
   a(a(a(x1))) -> a(a(b(a(a(x1)))))
   a(a(b(x1))) -> a(b(b(a(b(x1)))))
   a(b(a(x1))) -> b(a(b(b(a(x1)))))
   a(b(b(x1))) -> b(b(b(b(b(x1)))))
   a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1)))))))
   a(a(a(b(x1)))) -> a(a(b(b(a(a(b(x1)))))))
   a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1)))))))
   a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1)))))))
   a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1)))))))
   a(b(a(b(x1)))) -> b(a(b(b(b(a(b(x1)))))))
   a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1)))))))
   a(b(b(b(x1)))) -> b(b(b(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(x1) -> b(x1)
   a(a(x1)) -> a(b(a(x1)))
   a(b(x1)) -> b(b(b(x1)))
   a(a(a(x1))) -> a(a(b(a(a(x1)))))
   a(a(b(x1))) -> a(b(b(a(b(x1)))))
   a(b(a(x1))) -> b(a(b(b(a(x1)))))
   a(b(b(x1))) -> b(b(b(b(b(x1)))))
   a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1)))))))
   a(a(a(b(x1)))) -> a(a(b(b(a(a(b(x1)))))))
   a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1)))))))
   a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1)))))))
   a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1)))))))
   a(b(a(b(x1)))) -> b(a(b(b(b(a(b(x1)))))))
   a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1)))))))
   a(b(b(b(x1)))) -> b(b(b(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(x1) -> b(x1)
   a(a(x1)) -> a(b(a(x1)))
   a(b(x1)) -> b(b(b(x1)))
   a(a(a(x1))) -> a(a(b(a(a(x1)))))
   a(a(b(x1))) -> a(b(b(a(b(x1)))))
   a(b(a(x1))) -> b(a(b(b(a(x1)))))
   a(b(b(x1))) -> b(b(b(b(b(x1)))))
   a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1)))))))
   a(a(a(b(x1)))) -> a(a(b(b(a(a(b(x1)))))))
   a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1)))))))
   a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1)))))))
   a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1)))))))
   a(b(a(b(x1)))) -> b(a(b(b(b(a(b(x1)))))))
   a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1)))))))
   a(b(b(b(x1)))) -> b(b(b(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) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID))
Transformed a relative TRS into a decreasing-loop problem.
----------------------------------------

(6)
Obligation:
Analyzing the following TRS for decreasing loops:

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


The TRS R consists of the following rules:

   a(x1) -> b(x1)
   a(a(x1)) -> a(b(a(x1)))
   a(b(x1)) -> b(b(b(x1)))
   a(a(a(x1))) -> a(a(b(a(a(x1)))))
   a(a(b(x1))) -> a(b(b(a(b(x1)))))
   a(b(a(x1))) -> b(a(b(b(a(x1)))))
   a(b(b(x1))) -> b(b(b(b(b(x1)))))
   a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1)))))))
   a(a(a(b(x1)))) -> a(a(b(b(a(a(b(x1)))))))
   a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1)))))))
   a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1)))))))
   a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1)))))))
   a(b(a(b(x1)))) -> b(a(b(b(b(a(b(x1)))))))
   a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1)))))))
   a(b(b(b(x1)))) -> b(b(b(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) RenamingProof (BOTH BOUNDS(ID, ID))
Renamed function symbols to avoid clashes with predefined symbol.
----------------------------------------

(8)
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(x1) -> b(x1)
   a(a(x1)) -> a(b(a(x1)))
   a(b(x1)) -> b(b(b(x1)))
   a(a(a(x1))) -> a(a(b(a(a(x1)))))
   a(a(b(x1))) -> a(b(b(a(b(x1)))))
   a(b(a(x1))) -> b(a(b(b(a(x1)))))
   a(b(b(x1))) -> b(b(b(b(b(x1)))))
   a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1)))))))
   a(a(a(b(x1)))) -> a(a(b(b(a(a(b(x1)))))))
   a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1)))))))
   a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1)))))))
   a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1)))))))
   a(b(a(b(x1)))) -> b(a(b(b(b(a(b(x1)))))))
   a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1)))))))
   a(b(b(b(x1)))) -> b(b(b(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
----------------------------------------

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

(10)
Obligation:
TRS:
Rules:
a(x1) -> b(x1)
a(a(x1)) -> a(b(a(x1)))
a(b(x1)) -> b(b(b(x1)))
a(a(a(x1))) -> a(a(b(a(a(x1)))))
a(a(b(x1))) -> a(b(b(a(b(x1)))))
a(b(a(x1))) -> b(a(b(b(a(x1)))))
a(b(b(x1))) -> b(b(b(b(b(x1)))))
a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1)))))))
a(a(a(b(x1)))) -> a(a(b(b(a(a(b(x1)))))))
a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1)))))))
a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1)))))))
a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1)))))))
a(b(a(b(x1)))) -> b(a(b(b(b(a(b(x1)))))))
a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1)))))))
a(b(b(b(x1)))) -> b(b(b(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

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

(11) 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

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

(12)
Obligation:
TRS:
Rules:
a(x1) -> b(x1)
a(a(x1)) -> a(b(a(x1)))
a(b(x1)) -> b(b(b(x1)))
a(a(a(x1))) -> a(a(b(a(a(x1)))))
a(a(b(x1))) -> a(b(b(a(b(x1)))))
a(b(a(x1))) -> b(a(b(b(a(x1)))))
a(b(b(x1))) -> b(b(b(b(b(x1)))))
a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1)))))))
a(a(a(b(x1)))) -> a(a(b(b(a(a(b(x1)))))))
a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1)))))))
a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1)))))))
a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1)))))))
a(b(a(b(x1)))) -> b(a(b(b(b(a(b(x1)))))))
a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1)))))))
a(b(b(b(x1)))) -> b(b(b(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

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

(13) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
encArg(gen_b:cons_a2_0(+(1, n2827_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, +(n2827_0, 1)))) ->_R^Omega(0)
b(encArg(gen_b:cons_a2_0(+(1, n2827_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).
----------------------------------------

(14)
BOUNDS(1, INF)

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

(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(x1) -> b(x1)
   a(a(x1)) -> a(b(a(x1)))
   a(b(x1)) -> b(b(b(x1)))
   a(a(a(x1))) -> a(a(b(a(a(x1)))))
   a(a(b(x1))) -> a(b(b(a(b(x1)))))
   a(b(a(x1))) -> b(a(b(b(a(x1)))))
   a(b(b(x1))) -> b(b(b(b(b(x1)))))
   a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1)))))))
   a(a(a(b(x1)))) -> a(a(b(b(a(a(b(x1)))))))
   a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1)))))))
   a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1)))))))
   a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1)))))))
   a(b(a(b(x1)))) -> b(a(b(b(b(a(b(x1)))))))
   a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1)))))))
   a(b(b(b(x1)))) -> b(b(b(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(x1) -> b(x1)
   a(b(x1)) -> b(b(b(x1)))
   a(b(b(x1))) -> b(b(b(b(b(x1)))))
   a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1)))))))
   a(b(b(c_a(x1)))) -> b(b(a(b(b(b(a(x1)))))))
   a(b(c_a(c_a(x1)))) -> b(a(a(b(b(a(a(x1)))))))
   a(c_a(b(c_a(x1)))) -> a(b(a(b(a(b(a(x1)))))))
   a(c_a(x1)) -> a(b(a(x1)))
   a(c_a(b(x1))) -> a(b(b(a(b(x1)))))
   a(c_a(c_a(b(x1)))) -> a(a(b(b(a(a(b(x1)))))))
   a(c_a(b(b(x1)))) -> a(b(b(b(a(b(b(x1)))))))
   a(c_a(c_a(x1))) -> a(a(b(a(a(x1)))))
   a(b(c_a(x1))) -> b(a(b(b(a(x1)))))
   a(c_a(c_a(c_a(x1)))) -> a(a(a(b(a(a(a(x1)))))))
   a(b(c_a(b(x1)))) -> b(a(b(b(b(a(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))
   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(x1) -> b(x1)
   a(b(x1)) -> b(b(b(x1)))
   a(b(b(x1))) -> b(b(b(b(b(x1)))))
   a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1)))))))
   a(b(b(c_a(x1)))) -> b(b(a(b(b(b(a(x1)))))))
   a(b(c_a(c_a(x1)))) -> b(a(a(b(b(a(a(x1)))))))
   a(c_a(b(c_a(x1)))) -> a(b(a(b(a(b(a(x1)))))))
   a(c_a(x1)) -> a(b(a(x1)))
   a(c_a(b(x1))) -> a(b(b(a(b(x1)))))
   a(c_a(c_a(b(x1)))) -> a(a(b(b(a(a(b(x1)))))))
   a(c_a(b(b(x1)))) -> a(b(b(b(a(b(b(x1)))))))
   a(c_a(c_a(x1))) -> a(a(b(a(a(x1)))))
   a(b(c_a(x1))) -> b(a(b(b(a(x1)))))
   a(c_a(c_a(c_a(x1)))) -> a(a(a(b(a(a(a(x1)))))))
   a(b(c_a(b(x1)))) -> b(a(b(b(b(a(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))
   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(x1) -> b(x1) [1]
   a(b(x1)) -> b(b(b(x1))) [1]
   a(b(b(x1))) -> b(b(b(b(b(x1))))) [1]
   a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1))))))) [1]
   a(b(b(c_a(x1)))) -> b(b(a(b(b(b(a(x1))))))) [1]
   a(b(c_a(c_a(x1)))) -> b(a(a(b(b(a(a(x1))))))) [1]
   a(c_a(b(c_a(x1)))) -> a(b(a(b(a(b(a(x1))))))) [1]
   a(c_a(x1)) -> a(b(a(x1))) [1]
   a(c_a(b(x1))) -> a(b(b(a(b(x1))))) [1]
   a(c_a(c_a(b(x1)))) -> a(a(b(b(a(a(b(x1))))))) [1]
   a(c_a(b(b(x1)))) -> a(b(b(b(a(b(b(x1))))))) [1]
   a(c_a(c_a(x1))) -> a(a(b(a(a(x1))))) [1]
   a(b(c_a(x1))) -> b(a(b(b(a(x1))))) [1]
   a(c_a(c_a(c_a(x1)))) -> a(a(a(b(a(a(a(x1))))))) [1]
   a(b(c_a(b(x1)))) -> b(a(b(b(b(a(b(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(x1) -> b(x1) [1]
   a(b(x1)) -> b(b(b(x1))) [1]
   a(b(b(x1))) -> b(b(b(b(b(x1))))) [1]
   a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1))))))) [1]
   a(b(b(c_a(x1)))) -> b(b(a(b(b(b(a(x1))))))) [1]
   a(b(c_a(c_a(x1)))) -> b(a(a(b(b(a(a(x1))))))) [1]
   a(c_a(b(c_a(x1)))) -> a(b(a(b(a(b(a(x1))))))) [1]
   a(c_a(x1)) -> a(b(a(x1))) [1]
   a(c_a(b(x1))) -> a(b(b(a(b(x1))))) [1]
   a(c_a(c_a(b(x1)))) -> a(a(b(b(a(a(b(x1))))))) [1]
   a(c_a(b(b(x1)))) -> a(b(b(b(a(b(b(x1))))))) [1]
   a(c_a(c_a(x1))) -> a(a(b(a(a(x1))))) [1]
   a(b(c_a(x1))) -> b(a(b(b(a(x1))))) [1]
   a(c_a(c_a(c_a(x1)))) -> a(a(a(b(a(a(a(x1))))))) [1]
   a(b(c_a(b(x1)))) -> b(a(b(b(b(a(b(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 :: b:c_a:cons_a -> b:c_a:cons_a
b :: b:c_a:cons_a -> b:c_a:cons_a
c_a :: b:c_a:cons_a -> b:c_a:cons_a
encArg :: b:c_a:cons_a -> b:c_a:cons_a
cons_a :: b:c_a:cons_a -> b:c_a:cons_a
encode_a :: b:c_a:cons_a -> b:c_a:cons_a
encode_b :: b:c_a:cons_a -> b:c_a: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(x1) -> b(x1) [1]
   a(b(x1)) -> b(b(b(x1))) [1]
   a(b(b(x1))) -> b(b(b(b(b(x1))))) [1]
   a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1))))))) [1]
   a(b(b(c_a(x1)))) -> b(b(a(b(b(b(a(x1))))))) [1]
   a(b(c_a(c_a(x1)))) -> b(a(a(b(b(a(a(x1))))))) [1]
   a(c_a(b(c_a(x1)))) -> a(b(a(b(a(b(a(x1))))))) [1]
   a(c_a(x1)) -> a(b(a(x1))) [1]
   a(c_a(b(x1))) -> a(b(b(a(b(x1))))) [1]
   a(c_a(c_a(b(x1)))) -> a(a(b(b(a(a(b(x1))))))) [1]
   a(c_a(b(b(x1)))) -> a(b(b(b(a(b(b(x1))))))) [1]
   a(c_a(c_a(x1))) -> a(a(b(a(a(x1))))) [1]
   a(b(c_a(x1))) -> b(a(b(b(a(x1))))) [1]
   a(c_a(c_a(c_a(x1)))) -> a(a(a(b(a(a(a(x1))))))) [1]
   a(b(c_a(b(x1)))) -> b(a(b(b(b(a(b(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 :: b:c_a:cons_a:const -> b:c_a:cons_a:const
b :: b:c_a:cons_a:const -> b:c_a:cons_a:const
c_a :: b:c_a:cons_a:const -> b:c_a:cons_a:const
encArg :: b:c_a:cons_a:const -> b:c_a:cons_a:const
cons_a :: b:c_a:cons_a:const -> b:c_a:cons_a:const
encode_a :: b:c_a:cons_a:const -> b:c_a:cons_a:const
encode_b :: b:c_a:cons_a:const -> b:c_a:cons_a:const
const :: b:c_a: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(x1) -> b(x1) [1]
   a(b(x1)) -> b(b(b(x1))) [1]
   a(b(b(x1))) -> b(b(b(b(b(x1))))) [1]
   a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1))))))) [1]
   a(b(b(c_a(x1)))) -> b(b(a(b(b(b(b(x1))))))) [2]
   a(b(b(c_a(b(x1'))))) -> b(b(a(b(b(b(b(b(b(x1'))))))))) [2]
   a(b(b(c_a(b(b(x1'')))))) -> b(b(a(b(b(b(b(b(b(b(b(x1''))))))))))) [2]
   a(b(b(c_a(b(b(b(x11))))))) -> b(b(a(b(b(b(b(b(b(b(b(b(b(x11))))))))))))) [2]
   a(b(b(c_a(b(b(c_a(x12))))))) -> b(b(a(b(b(b(b(b(a(b(b(b(a(x12))))))))))))) [2]
   a(b(b(c_a(b(c_a(c_a(x13))))))) -> b(b(a(b(b(b(b(a(a(b(b(a(a(x13))))))))))))) [2]
   a(b(b(c_a(c_a(b(c_a(x14))))))) -> b(b(a(b(b(b(a(b(a(b(a(b(a(x14))))))))))))) [2]
   a(b(b(c_a(c_a(x15))))) -> b(b(a(b(b(b(a(b(a(x15))))))))) [2]
   a(b(b(c_a(c_a(b(x16)))))) -> b(b(a(b(b(b(a(b(b(a(b(x16))))))))))) [2]
   a(b(b(c_a(c_a(c_a(b(x17))))))) -> b(b(a(b(b(b(a(a(b(b(a(a(b(x17))))))))))))) [2]
   a(b(b(c_a(c_a(b(b(x18))))))) -> b(b(a(b(b(b(a(b(b(b(a(b(b(x18))))))))))))) [2]
   a(b(b(c_a(c_a(c_a(x19)))))) -> b(b(a(b(b(b(a(a(b(a(a(x19))))))))))) [2]
   a(b(b(c_a(b(c_a(x110)))))) -> b(b(a(b(b(b(b(a(b(b(a(x110))))))))))) [2]
   a(b(b(c_a(c_a(c_a(c_a(x111))))))) -> b(b(a(b(b(b(a(a(a(b(a(a(a(x111))))))))))))) [2]
   a(b(b(c_a(b(c_a(b(x112))))))) -> b(b(a(b(b(b(b(a(b(b(b(a(b(x112))))))))))))) [2]
   a(b(b(c_a(x1)))) -> b(b(a(b(b(b(c_a(x1))))))) [1]
   a(b(b(c_a(x1)))) -> b(b(a(b(b(b(const)))))) [1]
   a(b(c_a(c_a(x1)))) -> b(a(a(b(b(a(b(x1))))))) [2]
   a(b(c_a(c_a(b(x113))))) -> b(a(a(b(b(a(b(b(b(x113))))))))) [2]
   a(b(c_a(c_a(b(b(x114)))))) -> b(a(a(b(b(a(b(b(b(b(b(x114))))))))))) [2]
   a(b(c_a(c_a(b(b(b(x115))))))) -> b(a(a(b(b(a(b(b(b(b(b(b(b(x115))))))))))))) [2]
   a(b(c_a(c_a(b(b(c_a(x116))))))) -> b(a(a(b(b(a(b(b(a(b(b(b(a(x116))))))))))))) [2]
   a(b(c_a(c_a(b(c_a(c_a(x117))))))) -> b(a(a(b(b(a(b(a(a(b(b(a(a(x117))))))))))))) [2]
   a(b(c_a(c_a(c_a(b(c_a(x118))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(x118))))))))))))) [2]
   a(b(c_a(c_a(c_a(x119))))) -> b(a(a(b(b(a(a(b(a(x119))))))))) [2]
   a(b(c_a(c_a(c_a(b(x120)))))) -> b(a(a(b(b(a(a(b(b(a(b(x120))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(b(x121))))))) -> b(a(a(b(b(a(a(a(b(b(a(a(b(x121))))))))))))) [2]
   a(b(c_a(c_a(c_a(b(b(x122))))))) -> b(a(a(b(b(a(a(b(b(b(a(b(b(x122))))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(x123)))))) -> b(a(a(b(b(a(a(a(b(a(a(x123))))))))))) [2]
   a(b(c_a(c_a(b(c_a(x124)))))) -> b(a(a(b(b(a(b(a(b(b(a(x124))))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(c_a(x125))))))) -> b(a(a(b(b(a(a(a(a(b(a(a(a(x125))))))))))))) [2]
   a(b(c_a(c_a(b(c_a(b(x126))))))) -> b(a(a(b(b(a(b(a(b(b(b(a(b(x126))))))))))))) [2]
   a(b(c_a(c_a(x1)))) -> b(a(a(b(b(a(c_a(x1))))))) [1]
   a(b(c_a(c_a(x1)))) -> b(a(a(b(b(a(const)))))) [1]
   a(c_a(b(c_a(x1)))) -> a(b(a(b(a(b(b(x1))))))) [2]
   a(c_a(b(c_a(b(x127))))) -> a(b(a(b(a(b(b(b(b(x127))))))))) [2]
   a(c_a(b(c_a(b(b(x128)))))) -> a(b(a(b(a(b(b(b(b(b(b(x128))))))))))) [2]
   a(c_a(b(c_a(b(b(b(x129))))))) -> a(b(a(b(a(b(b(b(b(b(b(b(b(x129))))))))))))) [2]
   a(c_a(b(c_a(b(b(c_a(x130))))))) -> a(b(a(b(a(b(b(b(a(b(b(b(a(x130))))))))))))) [2]
   a(c_a(b(c_a(b(c_a(c_a(x131))))))) -> a(b(a(b(a(b(b(a(a(b(b(a(a(x131))))))))))))) [2]
   a(c_a(b(c_a(c_a(b(c_a(x132))))))) -> a(b(a(b(a(b(a(b(a(b(a(b(a(x132))))))))))))) [2]
   a(c_a(b(c_a(c_a(x133))))) -> a(b(a(b(a(b(a(b(a(x133))))))))) [2]
   a(c_a(b(c_a(c_a(b(x134)))))) -> a(b(a(b(a(b(a(b(b(a(b(x134))))))))))) [2]
   a(c_a(b(c_a(c_a(c_a(b(x135))))))) -> a(b(a(b(a(b(a(a(b(b(a(a(b(x135))))))))))))) [2]
   a(c_a(b(c_a(c_a(b(b(x136))))))) -> a(b(a(b(a(b(a(b(b(b(a(b(b(x136))))))))))))) [2]
   a(c_a(b(c_a(c_a(c_a(x137)))))) -> a(b(a(b(a(b(a(a(b(a(a(x137))))))))))) [2]
   a(c_a(b(c_a(b(c_a(x138)))))) -> a(b(a(b(a(b(b(a(b(b(a(x138))))))))))) [2]
   a(c_a(b(c_a(c_a(c_a(c_a(x139))))))) -> a(b(a(b(a(b(a(a(a(b(a(a(a(x139))))))))))))) [2]
   a(c_a(b(c_a(b(c_a(b(x140))))))) -> a(b(a(b(a(b(b(a(b(b(b(a(b(x140))))))))))))) [2]
   a(c_a(b(c_a(x1)))) -> a(b(a(b(a(b(c_a(x1))))))) [1]
   a(c_a(b(c_a(x1)))) -> a(b(a(b(a(b(const)))))) [1]
   a(c_a(x1)) -> a(b(b(x1))) [2]
   a(c_a(b(x141))) -> a(b(b(b(b(x141))))) [2]
   a(c_a(b(b(x142)))) -> a(b(b(b(b(b(b(x142))))))) [2]
   a(c_a(b(b(b(x143))))) -> a(b(b(b(b(b(b(b(b(x143))))))))) [2]
   a(c_a(b(b(c_a(x144))))) -> a(b(b(b(a(b(b(b(a(x144))))))))) [2]
   a(c_a(b(c_a(c_a(x145))))) -> a(b(b(a(a(b(b(a(a(x145))))))))) [2]
   a(c_a(c_a(b(c_a(x146))))) -> a(b(a(b(a(b(a(b(a(x146))))))))) [2]
   a(c_a(c_a(x147))) -> a(b(a(b(a(x147))))) [2]
   a(c_a(c_a(b(x148)))) -> a(b(a(b(b(a(b(x148))))))) [2]
   a(c_a(c_a(c_a(b(x149))))) -> a(b(a(a(b(b(a(a(b(x149))))))))) [2]
   a(c_a(c_a(b(b(x150))))) -> a(b(a(b(b(b(a(b(b(x150))))))))) [2]
   a(c_a(c_a(c_a(x151)))) -> a(b(a(a(b(a(a(x151))))))) [2]
   a(c_a(b(c_a(x152)))) -> a(b(b(a(b(b(a(x152))))))) [2]
   a(c_a(c_a(c_a(c_a(x153))))) -> a(b(a(a(a(b(a(a(a(x153))))))))) [2]
   a(c_a(b(c_a(b(x154))))) -> a(b(b(a(b(b(b(a(b(x154))))))))) [2]
   a(c_a(x1)) -> a(b(c_a(x1))) [1]
   a(c_a(x1)) -> a(b(const)) [1]
   a(c_a(b(x1))) -> a(b(b(b(b(x1))))) [2]
   a(c_a(b(x1))) -> a(b(b(b(b(b(x1)))))) [2]
   a(c_a(b(b(x155)))) -> a(b(b(b(b(b(b(b(x155)))))))) [2]
   a(c_a(b(b(b(x156))))) -> a(b(b(b(b(b(b(b(b(b(x156)))))))))) [2]
   a(c_a(b(b(c_a(x157))))) -> a(b(b(b(b(a(b(b(b(a(x157)))))))))) [2]
   a(c_a(b(c_a(c_a(x158))))) -> a(b(b(b(a(a(b(b(a(a(x158)))))))))) [2]
   a(c_a(b(c_a(x159)))) -> a(b(b(b(a(b(b(a(x159)))))))) [2]
   a(c_a(b(c_a(b(x160))))) -> a(b(b(b(a(b(b(b(a(b(x160)))))))))) [2]
   a(c_a(b(x1))) -> a(b(b(c_a(b(x1))))) [1]
   a(c_a(b(x1))) -> a(b(b(const))) [1]
   a(c_a(c_a(b(x1)))) -> a(a(b(b(a(b(b(x1))))))) [2]
   a(c_a(c_a(b(x1)))) -> a(a(b(b(a(b(b(b(x1)))))))) [2]
   a(c_a(c_a(b(b(x161))))) -> a(a(b(b(a(b(b(b(b(b(x161)))))))))) [2]
   a(c_a(c_a(b(b(b(x162)))))) -> a(a(b(b(a(b(b(b(b(b(b(b(x162)))))))))))) [2]
   a(c_a(c_a(b(b(c_a(x163)))))) -> a(a(b(b(a(b(b(a(b(b(b(a(x163)))))))))))) [2]
   a(c_a(c_a(b(c_a(c_a(x164)))))) -> a(a(b(b(a(b(a(a(b(b(a(a(x164)))))))))))) [2]
   a(c_a(c_a(b(c_a(x165))))) -> a(a(b(b(a(b(a(b(b(a(x165)))))))))) [2]
   a(c_a(c_a(b(c_a(b(x166)))))) -> a(a(b(b(a(b(a(b(b(b(a(b(x166)))))))))))) [2]
   a(c_a(c_a(b(x1)))) -> a(a(b(b(a(c_a(b(x1))))))) [1]
   a(c_a(c_a(b(x1)))) -> a(a(b(b(a(const))))) [1]
   a(c_a(b(b(x1)))) -> a(b(b(b(b(b(b(x1))))))) [2]
   a(c_a(b(b(x1)))) -> a(b(b(b(b(b(b(b(x1)))))))) [2]
   a(c_a(b(b(x1)))) -> a(b(b(b(b(b(b(b(b(x1))))))))) [2]
   a(c_a(b(b(b(x167))))) -> a(b(b(b(b(b(b(b(b(b(b(x167))))))))))) [2]
   a(c_a(b(b(c_a(x168))))) -> a(b(b(b(b(b(a(b(b(b(a(x168))))))))))) [2]
   a(c_a(b(b(x1)))) -> a(b(b(b(c_a(b(b(x1))))))) [1]
   a(c_a(b(b(x1)))) -> a(b(b(b(const)))) [1]
   a(c_a(c_a(x1))) -> a(a(b(a(b(x1))))) [2]
   a(c_a(c_a(b(x169)))) -> a(a(b(a(b(b(b(x169))))))) [2]
   a(c_a(c_a(b(b(x170))))) -> a(a(b(a(b(b(b(b(b(x170))))))))) [2]
   a(c_a(c_a(b(b(b(x171)))))) -> a(a(b(a(b(b(b(b(b(b(b(x171))))))))))) [2]
   a(c_a(c_a(b(b(c_a(x172)))))) -> a(a(b(a(b(b(a(b(b(b(a(x172))))))))))) [2]
   a(c_a(c_a(b(c_a(c_a(x173)))))) -> a(a(b(a(b(a(a(b(b(a(a(x173))))))))))) [2]
   a(c_a(c_a(c_a(b(c_a(x174)))))) -> a(a(b(a(a(b(a(b(a(b(a(x174))))))))))) [2]
   a(c_a(c_a(c_a(x175)))) -> a(a(b(a(a(b(a(x175))))))) [2]
   a(c_a(c_a(c_a(b(x176))))) -> a(a(b(a(a(b(b(a(b(x176))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(x177)))))) -> a(a(b(a(a(a(b(b(a(a(b(x177))))))))))) [2]
   a(c_a(c_a(c_a(b(b(x178)))))) -> a(a(b(a(a(b(b(b(a(b(b(x178))))))))))) [2]
   a(c_a(c_a(c_a(c_a(x179))))) -> a(a(b(a(a(a(b(a(a(x179))))))))) [2]
   a(c_a(c_a(b(c_a(x180))))) -> a(a(b(a(b(a(b(b(a(x180))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(x181)))))) -> a(a(b(a(a(a(a(b(a(a(a(x181))))))))))) [2]
   a(c_a(c_a(b(c_a(b(x182)))))) -> a(a(b(a(b(a(b(b(b(a(b(x182))))))))))) [2]
   a(c_a(c_a(x1))) -> a(a(b(a(c_a(x1))))) [1]
   a(c_a(c_a(x1))) -> a(a(b(a(const)))) [1]
   a(b(c_a(x1))) -> b(a(b(b(b(x1))))) [2]
   a(b(c_a(b(x183)))) -> b(a(b(b(b(b(b(x183))))))) [2]
   a(b(c_a(b(b(x184))))) -> b(a(b(b(b(b(b(b(b(x184))))))))) [2]
   a(b(c_a(b(b(b(x185)))))) -> b(a(b(b(b(b(b(b(b(b(b(x185))))))))))) [2]
   a(b(c_a(b(b(c_a(x186)))))) -> b(a(b(b(b(b(a(b(b(b(a(x186))))))))))) [2]
   a(b(c_a(b(c_a(c_a(x187)))))) -> b(a(b(b(b(a(a(b(b(a(a(x187))))))))))) [2]
   a(b(c_a(c_a(b(c_a(x188)))))) -> b(a(b(b(a(b(a(b(a(b(a(x188))))))))))) [2]
   a(b(c_a(c_a(x189)))) -> b(a(b(b(a(b(a(x189))))))) [2]
   a(b(c_a(c_a(b(x190))))) -> b(a(b(b(a(b(b(a(b(x190))))))))) [2]
   a(b(c_a(c_a(c_a(b(x191)))))) -> b(a(b(b(a(a(b(b(a(a(b(x191))))))))))) [2]
   a(b(c_a(c_a(b(b(x192)))))) -> b(a(b(b(a(b(b(b(a(b(b(x192))))))))))) [2]
   a(b(c_a(c_a(c_a(x193))))) -> b(a(b(b(a(a(b(a(a(x193))))))))) [2]
   a(b(c_a(b(c_a(x194))))) -> b(a(b(b(b(a(b(b(a(x194))))))))) [2]
   a(b(c_a(c_a(c_a(c_a(x195)))))) -> b(a(b(b(a(a(a(b(a(a(a(x195))))))))))) [2]
   a(b(c_a(b(c_a(b(x196)))))) -> b(a(b(b(b(a(b(b(b(a(b(x196))))))))))) [2]
   a(b(c_a(x1))) -> b(a(b(b(c_a(x1))))) [1]
   a(b(c_a(x1))) -> b(a(b(b(const)))) [1]
   a(c_a(c_a(c_a(x1)))) -> a(a(a(b(a(a(b(x1))))))) [2]
   a(c_a(c_a(c_a(b(x197))))) -> a(a(a(b(a(a(b(b(b(x197))))))))) [2]
   a(c_a(c_a(c_a(b(b(x198)))))) -> a(a(a(b(a(a(b(b(b(b(b(x198))))))))))) [2]
   a(c_a(c_a(c_a(b(b(b(x199))))))) -> a(a(a(b(a(a(b(b(b(b(b(b(b(x199))))))))))))) [2]
   a(c_a(c_a(c_a(b(b(c_a(x1100))))))) -> a(a(a(b(a(a(b(b(a(b(b(b(a(x1100))))))))))))) [2]
   a(c_a(c_a(c_a(b(c_a(c_a(x1101))))))) -> a(a(a(b(a(a(b(a(a(b(b(a(a(x1101))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(c_a(x1102))))))) -> a(a(a(b(a(a(a(b(a(b(a(b(a(x1102))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(x1103))))) -> a(a(a(b(a(a(a(b(a(x1103))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(x1104)))))) -> a(a(a(b(a(a(a(b(b(a(b(x1104))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(b(x1105))))))) -> a(a(a(b(a(a(a(a(b(b(a(a(b(x1105))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(b(b(x1106))))))) -> a(a(a(b(a(a(a(b(b(b(a(b(b(x1106))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(x1107)))))) -> a(a(a(b(a(a(a(a(b(a(a(x1107))))))))))) [2]
   a(c_a(c_a(c_a(b(c_a(x1108)))))) -> a(a(a(b(a(a(b(a(b(b(a(x1108))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(x1109))))))) -> a(a(a(b(a(a(a(a(a(b(a(a(a(x1109))))))))))))) [2]
   a(c_a(c_a(c_a(b(c_a(b(x1110))))))) -> a(a(a(b(a(a(b(a(b(b(b(a(b(x1110))))))))))))) [2]
   a(c_a(c_a(c_a(x1)))) -> a(a(a(b(a(a(c_a(x1))))))) [1]
   a(c_a(c_a(c_a(x1)))) -> a(a(a(b(a(a(const)))))) [1]
   a(b(c_a(b(x1)))) -> b(a(b(b(b(b(b(x1))))))) [2]
   a(b(c_a(b(x1)))) -> b(a(b(b(b(b(b(b(x1)))))))) [2]
   a(b(c_a(b(b(x1111))))) -> b(a(b(b(b(b(b(b(b(b(x1111)))))))))) [2]
   a(b(c_a(b(b(b(x1112)))))) -> b(a(b(b(b(b(b(b(b(b(b(b(x1112)))))))))))) [2]
   a(b(c_a(b(b(c_a(x1113)))))) -> b(a(b(b(b(b(b(a(b(b(b(a(x1113)))))))))))) [2]
   a(b(c_a(b(c_a(c_a(x1114)))))) -> b(a(b(b(b(b(a(a(b(b(a(a(x1114)))))))))))) [2]
   a(b(c_a(b(c_a(x1115))))) -> b(a(b(b(b(b(a(b(b(a(x1115)))))))))) [2]
   a(b(c_a(b(c_a(b(x1116)))))) -> b(a(b(b(b(b(a(b(b(b(a(b(x1116)))))))))))) [2]
   a(b(c_a(b(x1)))) -> b(a(b(b(b(c_a(b(x1))))))) [1]
   a(b(c_a(b(x1)))) -> b(a(b(b(b(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 :: b:c_a:cons_a:const -> b:c_a:cons_a:const
b :: b:c_a:cons_a:const -> b:c_a:cons_a:const
c_a :: b:c_a:cons_a:const -> b:c_a:cons_a:const
encArg :: b:c_a:cons_a:const -> b:c_a:cons_a:const
cons_a :: b:c_a:cons_a:const -> b:c_a:cons_a:const
encode_a :: b:c_a:cons_a:const -> b:c_a:cons_a:const
encode_b :: b:c_a:cons_a:const -> b:c_a:cons_a:const
const :: b:c_a: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(a(a(a(a(1 + a(a(a(x1109))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x1109))))), x1109 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(a(a(1 + a(a(x1107))))))))) :|: x1107 >= 0, z = 1 + (1 + (1 + (1 + (1 + x1107))))
   a(z) -{ 2 }-> a(a(a(1 + a(a(a(a(1 + (1 + a(a(1 + x1105)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x1105))))), x1105 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(a(1 + a(x1103))))))) :|: x1103 >= 0, z = 1 + (1 + (1 + (1 + x1103)))
   a(z) -{ 2 }-> a(a(a(1 + a(a(a(1 + a(1 + a(1 + a(x1102))))))))) :|: x1102 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1102)))))
   a(z) -{ 2 }-> a(a(a(1 + a(a(a(1 + (1 + a(1 + x1104)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x1104)))), x1104 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(a(1 + (1 + (1 + a(1 + (1 + x1106)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x1106))))), x1106 >= 0
   a(z) -{ 1 }-> a(a(a(1 + a(a(0))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> a(a(a(1 + a(a(1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + a(a(1 + (1 + a(a(x1101)))))))))) :|: x1101 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1101)))))
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + a(1 + (1 + a(x1108)))))))) :|: x1108 >= 0, z = 1 + (1 + (1 + (1 + (1 + x1108))))
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + a(1 + (1 + (1 + a(1 + x1110))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x1110))))), x1110 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + (1 + a(1 + (1 + (1 + a(x1100)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x1100))))), x1100 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + (1 + (1 + x197))))))) :|: x197 >= 0, z = 1 + (1 + (1 + (1 + x197)))
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + (1 + (1 + (1 + (1 + x198))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x198)))), x198 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + (1 + (1 + (1 + (1 + (1 + (1 + x199))))))))))) :|: x199 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x199)))))
   a(z) -{ 2 }-> a(a(1 + a(a(a(a(1 + a(a(a(x181))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x181)))), x181 >= 0
   a(z) -{ 2 }-> a(a(1 + a(a(a(1 + a(a(x179))))))) :|: z = 1 + (1 + (1 + (1 + x179))), x179 >= 0
   a(z) -{ 2 }-> a(a(1 + a(a(a(1 + (1 + a(a(1 + x177)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x177)))), x177 >= 0
   a(z) -{ 2 }-> a(a(1 + a(a(1 + a(x175))))) :|: x175 >= 0, z = 1 + (1 + (1 + x175))
   a(z) -{ 2 }-> a(a(1 + a(a(1 + a(1 + a(1 + a(x174))))))) :|: x174 >= 0, z = 1 + (1 + (1 + (1 + (1 + x174))))
   a(z) -{ 2 }-> a(a(1 + a(a(1 + (1 + a(1 + x176)))))) :|: x176 >= 0, z = 1 + (1 + (1 + (1 + x176)))
   a(z) -{ 2 }-> a(a(1 + a(a(1 + (1 + (1 + a(1 + (1 + x178)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x178)))), x178 >= 0
   a(z) -{ 1 }-> a(a(1 + a(0))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 1 }-> a(a(1 + a(1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(1 + (1 + a(a(x173)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x173)))), x173 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + (1 + a(x180)))))) :|: z = 1 + (1 + (1 + (1 + x180))), x180 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + (1 + (1 + a(1 + x182))))))) :|: x182 >= 0, z = 1 + (1 + (1 + (1 + (1 + x182))))
   a(z) -{ 2 }-> a(a(1 + a(1 + (1 + a(1 + (1 + (1 + a(x172)))))))) :|: x172 >= 0, z = 1 + (1 + (1 + (1 + (1 + x172))))
   a(z) -{ 2 }-> a(a(1 + a(1 + (1 + (1 + x169))))) :|: z = 1 + (1 + (1 + x169)), x169 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + (1 + (1 + (1 + (1 + x170))))))) :|: z = 1 + (1 + (1 + (1 + x170))), x170 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + x171))))))))) :|: x171 >= 0, z = 1 + (1 + (1 + (1 + (1 + x171))))
   a(z) -{ 1 }-> a(a(1 + (1 + a(0)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(a(1 + (1 + a(a(x164))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x164)))), x164 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + (1 + a(x165))))))) :|: x165 >= 0, z = 1 + (1 + (1 + (1 + x165)))
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + x166)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x166)))), x166 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + (1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> a(a(1 + (1 + a(1 + (1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + (1 + a(1 + (1 + (1 + a(x163))))))))) :|: x163 >= 0, z = 1 + (1 + (1 + (1 + (1 + x163))))
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + (1 + (1 + x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + x161)))))))) :|: z = 1 + (1 + (1 + (1 + x161))), x161 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + x162)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x162)))), x162 >= 0
   a(z) -{ 2 }-> a(1 + a(a(a(1 + a(a(a(x153))))))) :|: z = 1 + (1 + (1 + (1 + x153))), x153 >= 0
   a(z) -{ 2 }-> a(1 + a(a(1 + a(a(x151))))) :|: z = 1 + (1 + (1 + x151)), x151 >= 0
   a(z) -{ 2 }-> a(1 + a(a(1 + (1 + a(a(1 + x149)))))) :|: z = 1 + (1 + (1 + (1 + x149))), x149 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(x147))) :|: x147 >= 0, z = 1 + (1 + x147)
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(a(a(1 + a(a(a(x139))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x139))))), x139 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(a(1 + a(a(x137))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x137)))), x137 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(a(1 + (1 + a(a(1 + x135)))))))) :|: x135 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x135)))))
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(x133))))) :|: z = 1 + (1 + (1 + (1 + x133))), x133 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(x146))))) :|: z = 1 + (1 + (1 + (1 + x146))), x146 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + a(1 + a(1 + a(x132))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x132))))), x132 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + a(1 + x134)))))) :|: x134 >= 0, z = 1 + (1 + (1 + (1 + (1 + x134))))
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + x136)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x136))))), x136 >= 0
   a(z) -{ 1 }-> a(1 + a(1 + a(1 + 0))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> a(1 + a(1 + a(1 + (1 + x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + a(a(1 + (1 + a(a(x131))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x131))))), x131 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + a(1 + (1 + a(x138))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x138)))), x138 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + a(1 + (1 + (1 + a(1 + x140)))))))) :|: x140 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x140)))))
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + (1 + a(x130))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x130))))), x130 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + (1 + (1 + x127)))))) :|: z = 1 + (1 + (1 + (1 + x127))), x127 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + (1 + (1 + (1 + (1 + x128)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x128)))), x128 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x129)))))))))) :|: x129 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x129)))))
   a(z) -{ 2 }-> a(1 + a(1 + (1 + a(1 + x148)))) :|: z = 1 + (1 + (1 + x148)), x148 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + (1 + a(1 + (1 + x150)))))) :|: x150 >= 0, z = 1 + (1 + (1 + (1 + x150)))
   a(z) -{ 1 }-> a(1 + 0) :|: x1 >= 0, z = 1 + x1
   a(z) -{ 2 }-> a(1 + (1 + x1)) :|: x1 >= 0, z = 1 + x1
   a(z) -{ 1 }-> a(1 + (1 + x1)) :|: x1 >= 0, z = 1 + x1
   a(z) -{ 2 }-> a(1 + (1 + a(a(1 + (1 + a(a(x145))))))) :|: x145 >= 0, z = 1 + (1 + (1 + (1 + x145)))
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + a(x152))))) :|: x152 >= 0, z = 1 + (1 + (1 + x152))
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + (1 + a(1 + x154)))))) :|: x154 >= 0, z = 1 + (1 + (1 + (1 + x154)))
   a(z) -{ 1 }-> a(1 + (1 + 0)) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(a(1 + (1 + a(a(x158)))))))) :|: z = 1 + (1 + (1 + (1 + x158))), x158 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(1 + (1 + a(x159)))))) :|: x159 >= 0, z = 1 + (1 + (1 + x159))
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(1 + (1 + (1 + a(x144))))))) :|: z = 1 + (1 + (1 + (1 + x144))), x144 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(1 + (1 + (1 + a(1 + x160))))))) :|: z = 1 + (1 + (1 + (1 + x160))), x160 >= 0
   a(z) -{ 1 }-> a(1 + (1 + (1 + 0))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + x1)))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 1 }-> a(1 + (1 + (1 + (1 + x1)))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + x141)))) :|: x141 >= 0, z = 1 + (1 + x141)
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(x157)))))))) :|: x157 >= 0, z = 1 + (1 + (1 + (1 + x157)))
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + x1))))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(x168))))))))) :|: z = 1 + (1 + (1 + (1 + x168))), x168 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> a(1 + (1 + (1 + (1 + (1 + (1 + x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + x142)))))) :|: z = 1 + (1 + (1 + x142)), x142 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (1 + x155))))))) :|: x155 >= 0, z = 1 + (1 + (1 + x155))
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x143)))))))) :|: z = 1 + (1 + (1 + (1 + x143))), x143 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x156))))))))) :|: x156 >= 0, z = 1 + (1 + (1 + (1 + x156)))
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x167)))))))))) :|: z = 1 + (1 + (1 + (1 + x167))), x167 >= 0
   a(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   a(z) -{ 1 }-> 1 + x1 :|: x1 >= 0, z = x1
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(a(a(1 + a(a(a(x125)))))))))) :|: x125 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x125)))))
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(a(1 + a(a(x123)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x123)))), x123 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(a(1 + (1 + a(a(1 + x121))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x121))))), x121 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(1 + a(x119)))))) :|: z = 1 + (1 + (1 + (1 + x119))), x119 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(1 + a(1 + a(1 + a(x118)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x118))))), x118 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(1 + (1 + a(1 + x120))))))) :|: x120 >= 0, z = 1 + (1 + (1 + (1 + (1 + x120))))
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(1 + (1 + (1 + a(1 + (1 + x122))))))))) :|: x122 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x122)))))
   a(z) -{ 1 }-> 1 + a(a(1 + (1 + a(0)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> 1 + a(a(1 + (1 + a(1 + x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + a(a(1 + (1 + a(a(x117))))))))) :|: x117 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x117)))))
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + a(1 + (1 + a(x124))))))) :|: x124 >= 0, z = 1 + (1 + (1 + (1 + (1 + x124))))
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + x126)))))))) :|: x126 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x126)))))
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + (1 + a(1 + (1 + (1 + a(x116))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x116))))), x116 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + (1 + (1 + x113)))))) :|: z = 1 + (1 + (1 + (1 + x113))), x113 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + x114)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x114)))), x114 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + x115)))))))))) :|: x115 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x115)))))
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(a(a(1 + a(a(a(x195)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x195)))), x195 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(a(1 + a(a(x193)))))) :|: z = 1 + (1 + (1 + (1 + x193))), x193 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(a(1 + (1 + a(a(1 + x191))))))) :|: x191 >= 0, z = 1 + (1 + (1 + (1 + (1 + x191))))
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + a(x189)))) :|: z = 1 + (1 + (1 + x189)), x189 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + a(1 + a(1 + a(x188)))))) :|: z = 1 + (1 + (1 + (1 + (1 + x188)))), x188 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + a(1 + x190))))) :|: z = 1 + (1 + (1 + (1 + x190))), x190 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + a(1 + (1 + x192))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x192)))), x192 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (1 + 0)) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (1 + (1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + a(a(1 + (1 + a(a(x187)))))))) :|: x187 >= 0, z = 1 + (1 + (1 + (1 + (1 + x187))))
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + a(1 + (1 + a(x194)))))) :|: z = 1 + (1 + (1 + (1 + x194))), x194 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + a(1 + (1 + (1 + a(1 + x196))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x196)))), x196 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (1 + (1 + 0))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + a(a(1 + (1 + a(a(x1114))))))))) :|: x1114 >= 0, z = 1 + (1 + (1 + (1 + (1 + x1114))))
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + a(1 + (1 + a(x1115))))))) :|: x1115 >= 0, z = 1 + (1 + (1 + (1 + x1115)))
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(x186)))))))) :|: x186 >= 0, z = 1 + (1 + (1 + (1 + (1 + x186))))
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(1 + x1116)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x1116)))), x1116 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> 1 + a(1 + (1 + (1 + (1 + (1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + x183))))) :|: x183 >= 0, z = 1 + (1 + (1 + x183))
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(x1113))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x1113)))), x1113 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + (1 + x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + x184))))))) :|: z = 1 + (1 + (1 + (1 + x184))), x184 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1111)))))))) :|: z = 1 + (1 + (1 + (1 + x1111))), x1111 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x185))))))))) :|: x185 >= 0, z = 1 + (1 + (1 + (1 + (1 + x185))))
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1112)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x1112)))), x1112 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(a(a(1 + a(a(a(x111)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x111))))), x111 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(a(1 + a(a(x19)))))))) :|: x19 >= 0, z = 1 + (1 + (1 + (1 + (1 + x19))))
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(a(1 + (1 + a(a(1 + x17))))))))) :|: x17 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x17)))))
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(1 + a(x15)))))) :|: z = 1 + (1 + (1 + (1 + x15))), x15 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(1 + a(1 + a(1 + a(x14)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x14))))), x14 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(1 + (1 + a(1 + x16))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x16)))), x16 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(1 + (1 + (1 + a(1 + (1 + x18))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x18))))), x18 >= 0
   a(z) -{ 1 }-> 1 + (1 + a(1 + (1 + (1 + 0)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> 1 + (1 + a(1 + (1 + (1 + (1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + a(a(1 + (1 + a(a(x13)))))))))) :|: x13 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x13)))))
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + a(1 + (1 + a(x110)))))))) :|: z = 1 + (1 + (1 + (1 + (1 + x110)))), x110 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(1 + x112))))))))) :|: x112 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x112)))))
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(x12)))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x12))))), x12 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + (1 + (1 + x1'))))))) :|: x1' >= 0, z = 1 + (1 + (1 + (1 + x1')))
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1''))))))))) :|: x1'' >= 0, z = 1 + (1 + (1 + (1 + (1 + x1''))))
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11))))))))))) :|: x11 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x11)))))
   a(z) -{ 1 }-> 1 + (1 + (1 + x1)) :|: x1 >= 0, z = 1 + x1
   a(z) -{ 1 }-> 1 + (1 + (1 + (1 + (1 + x1)))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 1 }-> 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))) :|: x1 >= 0, z = 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(a(a(a(a(1 + a(a(a(z - 6))))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(a(a(1 + a(a(z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(a(a(1 + (1 + a(a(1 + (z - 6))))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(a(1 + a(z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(a(1 + a(1 + a(1 + a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(a(1 + (1 + a(1 + (z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(a(1 + (1 + (1 + a(1 + (1 + (z - 6))))))))))) :|: z - 6 >= 0
   a(z) -{ 1 }-> a(a(a(1 + a(a(0))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + a(a(1 + (1 + a(a(z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + a(1 + (1 + a(z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + a(1 + (1 + (1 + a(1 + (z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + (z - 3)))))) :|: z - 3 >= 0
   a(z) -{ 1 }-> a(a(a(1 + a(a(1 + (z - 3)))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + (1 + a(1 + (1 + (1 + a(z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + (1 + (1 + (z - 4)))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + (1 + (1 + (1 + (1 + (z - 5)))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(a(1 + a(a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 6)))))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(a(1 + a(a(a(a(1 + a(a(a(z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(1 + a(a(a(1 + a(a(z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(1 + a(a(a(1 + (1 + a(a(1 + (z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(1 + a(a(1 + a(z - 3))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(a(1 + a(a(1 + a(1 + a(1 + a(z - 5))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(1 + a(a(1 + (1 + a(1 + (z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(1 + a(a(1 + (1 + (1 + a(1 + (1 + (z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 1 }-> a(a(1 + a(0))) :|: z - 2 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(a(1 + (1 + a(a(z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + (1 + a(z - 4)))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + a(1 + (1 + (1 + a(1 + (z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + (z - 2)))) :|: z - 2 >= 0
   a(z) -{ 1 }-> a(a(1 + a(1 + (z - 2)))) :|: z - 2 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + (1 + a(1 + (1 + (1 + a(z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + (1 + (1 + (z - 3)))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + (1 + (1 + (1 + (1 + (z - 4)))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 5)))))))))) :|: z - 5 >= 0
   a(z) -{ 1 }-> a(a(1 + (1 + a(0)))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(a(1 + (1 + a(a(z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + (1 + a(z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + (z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + (1 + a(1 + (1 + (1 + a(z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + (1 + (z - 3)))))) :|: z - 3 >= 0
   a(z) -{ 1 }-> a(a(1 + (1 + a(1 + (1 + (z - 3)))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + (1 + (1 + (z - 3))))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + (z - 4))))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 5))))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(1 + a(a(a(1 + a(a(a(z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + a(a(1 + a(a(z - 3))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + a(a(1 + (1 + a(a(1 + (z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(z - 2))) :|: z - 2 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(a(a(1 + a(a(a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(a(1 + a(a(z - 5))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(a(1 + (1 + a(a(1 + (z - 6))))))))) :|: z - 6 >= 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 + (1 + a(1 + (z - 5))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + (z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 1 }-> a(1 + a(1 + a(1 + 0))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + a(a(1 + (1 + a(a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + a(1 + (1 + a(z - 5))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + a(1 + (1 + (1 + a(1 + (z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + (z - 3))))) :|: z - 3 >= 0
   a(z) -{ 1 }-> a(1 + a(1 + a(1 + (1 + (z - 3))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + (1 + a(1 + (1 + (1 + a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + (1 + (1 + (z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + (1 + (1 + (1 + (1 + (z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 6))))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + a(1 + (z - 3))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + a(1 + (1 + (1 + a(1 + (1 + (z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 1 }-> a(1 + 0) :|: z - 1 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(a(1 + (1 + a(a(z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + a(z - 3))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + (1 + a(1 + (1 + (1 + a(1 + (z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 1 }-> a(1 + (1 + 0)) :|: z - 2 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (z - 1))) :|: z - 1 >= 0
   a(z) -{ 1 }-> a(1 + (1 + (z - 1))) :|: z - 1 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(a(1 + (1 + a(a(z - 4)))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(1 + (1 + a(z - 3)))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(1 + (1 + (1 + a(z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + a(1 + (1 + (1 + a(1 + (z - 4)))))))) :|: z - 4 >= 0
   a(z) -{ 1 }-> a(1 + (1 + (1 + 0))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(z - 4)))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (z - 2))))) :|: z - 2 >= 0
   a(z) -{ 1 }-> a(1 + (1 + (1 + (1 + (z - 2))))) :|: z - 2 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(z - 4))))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (z - 2)))))) :|: z - 2 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (z - 3))))))) :|: z - 3 >= 0
   a(z) -{ 1 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (z - 3))))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 3)))))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 4))))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 3))))))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 4)))))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 4))))))))))) :|: z - 4 >= 0
   a(z) -{ 0 }-> 0 :|: z >= 0
   a(z) -{ 1 }-> 1 + z :|: z >= 0
   a(z) -{ 0 }-> 1 + z :|: z >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(a(a(1 + a(a(a(z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(a(1 + a(a(z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(a(1 + (1 + a(a(1 + (z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(1 + a(z - 4)))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(1 + a(1 + a(1 + a(z - 6)))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(1 + (1 + a(1 + (z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(a(1 + (1 + (1 + a(1 + (1 + (z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 1 }-> 1 + a(a(1 + (1 + a(0)))) :|: z - 3 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + a(a(1 + (1 + a(a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + a(1 + (1 + a(z - 5))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + a(1 + (1 + (1 + a(1 + (z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + (z - 3))))) :|: z - 3 >= 0
   a(z) -{ 1 }-> 1 + a(a(1 + (1 + a(1 + (z - 3))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + (1 + a(1 + (1 + (1 + a(z - 6))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + (1 + (1 + (z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + (z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(a(1 + (1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 6))))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(a(a(1 + a(a(a(z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(a(1 + a(a(z - 4)))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(a(1 + (1 + a(a(1 + (z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + a(z - 3)))) :|: z - 3 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + a(1 + a(1 + a(z - 5)))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + a(1 + (z - 4)))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + a(1 + (1 + (1 + a(1 + (1 + (z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (1 + 0)) :|: z - 2 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + a(a(1 + (1 + a(a(z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + a(1 + (1 + a(z - 4)))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + a(1 + (1 + (1 + a(1 + (z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (1 + (1 + 0))) :|: z - 3 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (z - 2)))) :|: z - 2 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (1 + (1 + (z - 2)))) :|: z - 2 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + a(a(1 + (1 + a(a(z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + a(1 + (1 + a(z - 4))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(1 + (z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(z - 5))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + (z - 3)))))) :|: z - 3 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (1 + (1 + (1 + (1 + (z - 3)))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + (1 + (z - 3))))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 4)))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 4))))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 5)))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 5))))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(a(a(1 + a(a(a(z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(a(1 + a(a(z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(a(1 + (1 + a(a(1 + (z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(1 + a(z - 4)))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(1 + a(1 + a(1 + a(z - 6)))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(1 + (1 + a(1 + (z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + a(1 + (1 + (1 + a(1 + (1 + (z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 1 }-> 1 + (1 + a(1 + (1 + (1 + 0)))) :|: z - 3 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + a(a(1 + (1 + a(a(z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + a(1 + (1 + a(z - 5)))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(1 + (z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + (z - 3)))))) :|: z - 3 >= 0
   a(z) -{ 1 }-> 1 + (1 + a(1 + (1 + (1 + (1 + (z - 3)))))) :|: z - 3 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + (1 + a(1 + (1 + (1 + a(z - 6)))))))))) :|: z - 6 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + (1 + (1 + (z - 4)))))))) :|: z - 4 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 5)))))))))) :|: z - 5 >= 0
   a(z) -{ 2 }-> 1 + (1 + a(1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 6)))))))))))) :|: z - 6 >= 0
   a(z) -{ 1 }-> 1 + (1 + (1 + (z - 1))) :|: z - 1 >= 0
   a(z) -{ 1 }-> 1 + (1 + (1 + (1 + (1 + (z - 2))))) :|: z - 2 >= 0
   a(z) -{ 1 }-> 1 + (1 + (1 + (1 + (1 + (1 + (1 + (z - 3))))))) :|: z - 3 >= 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


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(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(x1) -> b(x1) [1]
   a(b(x1)) -> b(b(b(x1))) [1]
   a(b(b(x1))) -> b(b(b(b(b(x1))))) [1]
   a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1))))))) [1]
   a(b(b(c_a(x1)))) -> b(b(a(b(b(b(a(x1))))))) [1]
   a(b(c_a(c_a(x1)))) -> b(a(a(b(b(a(a(x1))))))) [1]
   a(c_a(b(c_a(x1)))) -> a(b(a(b(a(b(a(x1))))))) [1]
   a(c_a(x1)) -> a(b(a(x1))) [1]
   a(c_a(b(x1))) -> a(b(b(a(b(x1))))) [1]
   a(c_a(c_a(b(x1)))) -> a(a(b(b(a(a(b(x1))))))) [1]
   a(c_a(b(b(x1)))) -> a(b(b(b(a(b(b(x1))))))) [1]
   a(c_a(c_a(x1))) -> a(a(b(a(a(x1))))) [1]
   a(b(c_a(x1))) -> b(a(b(b(a(x1))))) [1]
   a(c_a(c_a(c_a(x1)))) -> a(a(a(b(a(a(a(x1))))))) [1]
   a(b(c_a(b(x1)))) -> b(a(b(b(b(a(b(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 :: b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
b :: b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
c_a :: b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
encArg :: b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
cons_a :: b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
encode_a :: b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
encode_b :: b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a -> b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
null_encArg :: b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
null_encode_a :: b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
null_encode_b :: b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a
null_a :: b:c_a:cons_a:null_encArg:null_encode_a:null_encode_b:null_a

Rewrite Strategy: INNERMOST
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(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(a(a(x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> a(a(1 + a(a(x1)))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 1 }-> a(a(1 + (1 + a(a(1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> a(1 + a(x1)) :|: x1 >= 0, z = 1 + x1
   a(z) -{ 1 }-> a(1 + a(1 + a(1 + a(x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> a(1 + (1 + a(1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 1 }-> a(1 + (1 + (1 + a(1 + (1 + x1))))) :|: x1 >= 0, z = 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 + x1 :|: x1 >= 0, z = x1
   a(z) -{ 1 }-> 1 + a(a(1 + (1 + a(a(x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> 1 + a(1 + (1 + a(x1))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 1 }-> 1 + a(1 + (1 + (1 + a(1 + x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> 1 + (1 + a(1 + (1 + (1 + a(x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> 1 + (1 + (1 + x1)) :|: x1 >= 0, z = 1 + x1
   a(z) -{ 1 }-> 1 + (1 + (1 + (1 + (1 + x1)))) :|: z = 1 + (1 + x1), x1 >= 0
   a(z) -{ 1 }-> 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))) :|: x1 >= 0, z = 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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(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(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(a(z0))))), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(a(z0))))), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(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, c6, c7, c8, c9_2, c10_4, c11_4, c12_2, c13_2, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2


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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(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(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(a(z0))))), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(a(z0))))), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(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, c6, c7, c8, c9_2, c10_4, c11_4, c12_2, c13_2, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2


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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(a(z0))))), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   ENCODE_A(z0) -> c3(ENCARG(z0))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(a(z0))))), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
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, c6, c7, c8, c9_2, c10_4, c11_4, c12_2, c13_2, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2, c3_1


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

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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(a(z0))))), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(a(z0))))), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
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, c6, c7, c8, c9_2, c10_4, c11_4, c12_2, c13_2, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2, c3_1


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

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

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

(46)
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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(a(z0))))), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(a(z0))))), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(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, c1_2, c5, c6, c7, c8, c9_2, c10_4, c11_4, c12_2, c13_2, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2, c3_1


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

(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(b(c_a(z0)))) -> c9(A(b(b(b(a(z0))))), A(z0)) by 
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))), A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))), A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))), A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c10_4, c11_4, c12_2, c13_2, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2, c3_1, c9_2


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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(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, c1_2, c5, c6, c7, c8, c10_4, c11_4, c12_2, c13_2, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2, c3_1, c9_2, c2_1


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

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0)) by 
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c11_4, c12_2, c13_2, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2, c3_1, c9_2, c2_1, c10_4


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

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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(z0)) -> c12(A(b(a(z0))), A(z0))
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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)))))
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, c6, c7, c8, c12_2, c13_2, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2, c3_1, c9_2, c2_1, c10_4, c11_4


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

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(z0)) -> c12(A(b(a(z0))), A(z0)) by 
   A(c_a(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(b(z0))))) -> c12(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(b(z0)))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(b(z0))))) -> c12(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(b(z0)))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(b(z0))))) -> c12(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(b(z0)))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c13_2, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2


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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(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, c1_2, c5, c6, c7, c8, c13_2, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1


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

(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(z0))) -> c13(A(b(b(a(b(z0))))), A(b(z0))) by 
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(b(z0))))) -> c13(A(b(b(b(b(b(b(b(b(b(z0)))))))))), A(b(b(b(z0)))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(b(z0))))) -> c13(A(b(b(b(b(b(b(b(b(b(z0)))))))))), A(b(b(b(z0)))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(b(z0))))) -> c13(A(b(b(b(b(b(b(b(b(b(z0)))))))))), A(b(b(b(z0)))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2


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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(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, c1_2, c5, c6, c7, c8, c14_4, c15_2, c16_4, c17_2, c18_6, c19_2, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1


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

(63) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(a(b(z0))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0))) by 
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0))))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c15_2, c16_4, c17_2, c18_6, c19_2, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4


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

(65) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(c_a(b(b(z0)))) -> c15(A(b(b(b(a(b(b(z0))))))), A(b(b(z0)))) by 
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(b(z0))))) -> c15(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))), A(b(b(b(z0)))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(b(z0))))) -> c15(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))), A(b(b(b(z0)))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(b(z0))))) -> c15(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))), A(b(b(b(z0)))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(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, c1_2, c5, c6, c7, c8, c16_4, c17_2, c18_6, c19_2, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2


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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(c_a(z0))) -> c16(A(a(b(a(a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(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, c1_2, c5, c6, c7, c8, c16_4, c17_2, c18_6, c19_2, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1


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

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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0))
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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)))))
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, c6, c7, c8, c17_2, c18_6, c19_2, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4


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

(71) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(c_a(z0))) -> c17(A(b(b(a(z0)))), A(z0)) by 
   A(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(b(z0)))))) -> c17(A(b(b(b(b(b(b(b(b(b(z0)))))))))), A(b(b(b(z0)))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(b(z0)))))) -> c17(A(b(b(b(b(b(b(b(b(b(z0)))))))))), A(b(b(b(z0)))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(b(z0)))))) -> c17(A(b(b(b(b(b(b(b(b(b(z0)))))))))), A(b(b(b(z0)))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c18_6, c19_2, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2


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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(c_a(c_a(c_a(z0)))) -> c18(A(a(a(b(a(a(a(z0))))))), A(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(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(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, c1_2, c5, c6, c7, c8, c18_6, c19_2, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1


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

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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(a(b(z0)))))), A(b(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c19_2, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6


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

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(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(b(z0)))))) -> c19(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))), A(b(b(b(z0)))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(b(z0)))))) -> c19(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))), A(b(b(b(z0)))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2


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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1


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

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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1


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

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

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

(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1


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

(85) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(z0))))))))))), A(c_a(b(c_a(z0))))) by 
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1


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

(87) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(a(z0))))))), A(c_a(z0))) by 
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1


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

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(a(b(z0))))))))), A(c_a(b(z0)))) by 
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(b(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1


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

(91) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(b(z0))))))))))), A(c_a(c_a(b(z0))))) by 
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1


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

(93) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(z0))))))))))), A(c_a(b(b(z0))))) by 
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1


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

(95) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(a(z0))))))))), A(c_a(c_a(z0)))) by 
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1


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

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0)))) by 
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1


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

(99) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(z0))))))))))), A(c_a(c_a(c_a(z0))))) by 
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1


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

(101) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0))))) by 
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1


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

(103) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0)) by 
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(a(x0))))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1, c10_1


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

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

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

(106)
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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(a(x0))))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(a(x0))))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1, c10_1


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

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

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

(108)
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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(a(x0))))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(c_a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(c_a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(b(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(a(a(b(b(a(a(b(z0))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(a(a(b(b(b(a(b(b(z0))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(b(a(b(b(b(a(b(z0))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(a(x0))))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(c_a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(c_a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(b(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(a(a(b(b(a(a(b(z0))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(a(a(b(b(b(a(b(b(z0))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(b(a(b(b(b(a(b(z0))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1, c10_1


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

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

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

(110)
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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(a(x0))))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(c_a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(c_a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(b(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(a(a(b(b(a(a(b(z0))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(a(a(b(b(b(a(b(b(z0))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(b(a(b(b(b(a(b(z0))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(c_a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(b(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(b(a(c_a(z0)))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(b(a(b(z0)))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(b(a(b(b(b(z0)))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(b(a(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(b(a(a(b(b(a(b(z0)))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(a(x0))))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(c_a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(c_a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(b(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(a(a(b(b(a(a(b(z0))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(a(a(b(b(b(a(b(b(z0))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(b(a(b(b(b(a(b(z0))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(c_a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(b(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(b(a(c_a(z0)))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(b(a(b(z0)))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(b(a(b(b(b(z0)))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(b(a(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(b(a(a(b(b(a(b(z0)))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1, c10_1


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

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

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

(112)
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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(a(x0))))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(c_a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(c_a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(b(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(a(a(b(b(a(a(b(z0))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(a(a(b(b(b(a(b(b(z0))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(b(a(b(b(b(a(b(z0))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(c_a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(b(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(b(a(c_a(z0)))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(b(a(b(z0)))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(b(a(b(b(b(z0)))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(b(a(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(b(a(a(b(b(a(b(z0)))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(b(b(b(a(a(x0))))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(c_a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(c_a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(c_a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(c_a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(c_a(b(b(a(b(b(b(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(b(b(b(z0))))))) -> c10(A(a(b(b(c_a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(c_a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(c_a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(c_a(a(b(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(b(z0)))))) -> c10(A(a(b(b(c_a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(c_a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(c_a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(c_a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(c_a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(c_a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(c_a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(a(x0))))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(c_a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(c_a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(b(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(a(a(b(b(a(a(b(z0))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(a(a(b(b(b(a(b(b(z0))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(b(a(b(b(b(a(b(z0))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(c_a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(b(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(b(a(c_a(z0)))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(b(a(b(z0)))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(b(a(b(b(b(z0)))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(b(a(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(b(a(a(b(b(a(b(z0)))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(b(b(b(a(a(x0))))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(c_a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(c_a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(c_a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(c_a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(c_a(b(b(a(b(b(b(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(b(b(b(z0))))))) -> c10(A(a(b(b(c_a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(c_a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(c_a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(c_a(a(b(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(b(z0)))))) -> c10(A(a(b(b(c_a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(c_a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(c_a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(c_a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(c_a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(c_a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(c_a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1, c10_1


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

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

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

(114)
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(z0) -> b(z0)
   a(b(z0)) -> b(b(b(z0)))
   a(b(b(z0))) -> b(b(b(b(b(z0)))))
   a(b(b(b(z0)))) -> b(b(b(b(b(b(b(z0)))))))
   a(b(b(c_a(z0)))) -> b(b(a(b(b(b(a(z0)))))))
   a(b(c_a(c_a(z0)))) -> b(a(a(b(b(a(a(z0)))))))
   a(c_a(b(c_a(z0)))) -> a(b(a(b(a(b(a(z0)))))))
   a(c_a(z0)) -> a(b(a(z0)))
   a(c_a(b(z0))) -> a(b(b(a(b(z0)))))
   a(c_a(c_a(b(z0)))) -> a(a(b(b(a(a(b(z0)))))))
   a(c_a(b(b(z0)))) -> a(b(b(b(a(b(b(z0)))))))
   a(c_a(c_a(z0))) -> a(a(b(a(a(z0)))))
   a(b(c_a(z0))) -> b(a(b(b(a(z0)))))
   a(c_a(c_a(c_a(z0)))) -> a(a(a(b(a(a(a(z0)))))))
   a(b(c_a(b(z0)))) -> b(a(b(b(b(a(b(z0)))))))
Tuples:
   ENCARG(b(z0)) -> c(ENCARG(z0))
   ENCARG(cons_a(z0)) -> c1(A(encArg(z0)), ENCARG(z0))
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   ENCODE_A(z0) -> c3(A(encArg(z0)))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(a(x0))))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(c_a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(c_a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(b(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(a(a(b(b(a(a(b(z0))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(a(a(b(b(b(a(b(b(z0))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(b(a(b(b(b(a(b(z0))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(c_a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(b(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(b(a(c_a(z0)))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(b(a(b(z0)))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(b(a(b(b(b(z0)))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(b(a(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(b(a(a(b(b(a(b(z0)))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(b(b(b(a(a(x0))))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(c_a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(c_a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(c_a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(c_a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(c_a(b(b(a(b(b(b(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(b(b(b(z0))))))) -> c10(A(a(b(b(c_a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(c_a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(c_a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(c_a(a(b(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(b(z0)))))) -> c10(A(a(b(b(c_a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(c_a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(c_a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(c_a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(c_a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(c_a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(c_a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(b(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(b(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(b(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(b(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(b(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(b(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(b(a(b(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(b(z0)))))) -> c10(A(a(b(b(b(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(b(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(b(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(b(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(b(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(b(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
S tuples:
   A(z0) -> c5
   A(b(z0)) -> c6
   A(b(b(z0))) -> c7
   A(b(b(b(z0)))) -> c8
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(c_a(z0))))), A(z0))
   A(b(b(c_a(z0)))) -> c9(A(b(b(b(b(z0))))), A(z0))
   A(b(b(c_a(b(z0))))) -> c9(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(b(c_a(b(b(z0)))))) -> c9(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(b(c_a(b(b(b(z0))))))) -> c2(A(b(b(b(z0)))))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(a(a(b(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(b(z0)))))) -> c10(A(a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(x0)))) -> c11(A(b(c_a(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(b(b(b(a(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(c_a(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(a(x0))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(x0)))) -> c11(A(b(a(b(b(b(b(a(x0)))))))), A(b(a(b(a(x0))))), A(b(a(x0))), A(x0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(c_a(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(z0)))) -> c11(A(b(a(b(a(b(b(z0))))))), A(b(a(b(a(z0))))), A(b(a(z0))), A(z0))
   A(c_a(b(c_a(b(z0))))) -> c11(A(b(a(b(a(b(b(b(b(z0))))))))), A(b(a(b(a(b(z0)))))), A(b(a(b(z0)))), A(b(z0)))
   A(c_a(b(c_a(b(b(z0)))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(z0))))))))))), A(b(a(b(a(b(b(z0))))))), A(b(a(b(b(z0))))), A(b(b(z0))))
   A(c_a(b(c_a(b(b(b(z0))))))) -> c11(A(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(b(a(b(a(b(b(b(z0)))))))), A(b(a(b(b(b(z0)))))), A(b(b(b(z0)))))
   A(c_a(b(c_a(b(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c11(A(b(a(b(a(b(b(a(a(b(b(a(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(b(c_a(z0)))))) -> c11(A(b(a(b(a(b(b(a(b(b(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(b(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(b(a(b(a(b(c_a(b(z0)))))))), A(b(a(b(c_a(b(z0)))))), A(b(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(b(a(b(a(b(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))))) -> c11(A(b(a(b(a(b(a(b(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(z0)))))) -> c11(A(b(a(b(a(b(a(b(b(a(b(z0))))))))))), A(b(a(b(a(c_a(b(z0))))))), A(b(a(c_a(b(z0))))), A(c_a(b(z0))))
   A(c_a(b(c_a(c_a(c_a(b(z0))))))) -> c11(A(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(b(a(b(a(c_a(c_a(b(z0)))))))), A(b(a(c_a(c_a(b(z0)))))), A(c_a(c_a(b(z0)))))
   A(c_a(b(c_a(c_a(b(b(z0))))))) -> c11(A(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(b(a(b(a(c_a(b(b(z0)))))))), A(b(a(c_a(b(b(z0)))))), A(c_a(b(b(z0)))))
   A(c_a(b(c_a(c_a(c_a(z0)))))) -> c11(A(b(a(b(a(b(a(a(b(a(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(c_a(z0))))))) -> c11(A(b(a(b(a(b(a(a(a(b(a(a(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(z0)) -> c12(A(b(c_a(z0))), A(z0))
   A(c_a(z0)) -> c12(A(b(b(z0))), A(z0))
   A(c_a(b(z0))) -> c12(A(b(b(b(b(z0))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c12(A(b(b(b(b(b(b(z0))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c12(A(b(b(b(a(b(b(b(a(z0))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c12(A(b(b(a(a(b(b(a(a(z0))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(c_a(b(c_a(z0))))) -> c12(A(b(a(b(a(b(a(b(a(z0))))))))), A(c_a(b(c_a(z0)))))
   A(c_a(c_a(z0))) -> c12(A(b(a(b(a(z0))))), A(c_a(z0)))
   A(c_a(c_a(b(z0)))) -> c12(A(b(a(b(b(a(b(z0))))))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(b(z0))))) -> c12(A(b(a(a(b(b(a(a(b(z0))))))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(b(b(z0))))) -> c12(A(b(a(b(b(b(a(b(b(z0))))))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(z0)))) -> c12(A(b(a(a(b(a(a(z0))))))), A(c_a(c_a(z0))))
   A(c_a(b(c_a(z0)))) -> c12(A(b(b(a(b(b(a(z0))))))), A(b(c_a(z0))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c12(A(b(a(a(a(b(a(a(a(z0))))))))), A(c_a(c_a(c_a(z0)))))
   A(c_a(b(c_a(b(z0))))) -> c12(A(b(b(a(b(b(b(a(b(z0))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(b(b(b(b(b(z0))))))))))
   A(c_a(b(b(b(z0))))) -> c4(A(b(b(b(z0)))))
   A(c_a(b(x0))) -> c13(A(b(b(c_a(b(x0))))), A(b(x0)))
   A(c_a(b(x0))) -> c13(A(b(b(b(b(x0))))), A(b(x0)))
   A(c_a(b(z0))) -> c13(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(c_a(b(b(z0)))) -> c13(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c13(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(c_a(c_a(z0))))) -> c13(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(c_a(b(c_a(z0)))) -> c13(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(c_a(b(c_a(b(z0))))) -> c13(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(c_a(b(b(b(z0))))) -> c20(A(b(b(b(z0)))))
   A(c_a(c_a(b(x0)))) -> c14(A(c_a(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(a(a(b(x0)))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(b(b(b(b(b(a(a(b(x0))))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(c_a(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(b(a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(c_a(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(x0)))) -> c14(A(a(b(b(a(b(b(x0))))))), A(b(b(a(a(b(x0)))))), A(a(b(x0))), A(b(x0)))
   A(c_a(c_a(b(z0)))) -> c14(A(a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c14(A(a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c14(A(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c14(A(a(b(b(a(b(b(a(b(b(b(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(c_a(c_a(b(c_a(c_a(z0)))))) -> c14(A(a(b(b(a(b(a(a(b(b(a(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(c_a(c_a(b(c_a(z0))))) -> c14(A(a(b(b(a(b(a(b(b(a(z0)))))))))), A(b(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(b(z0)))))) -> c14(A(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(c_a(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(x0))))))), A(b(b(x0))))
   A(c_a(b(b(x0)))) -> c15(A(b(b(b(b(b(b(b(x0)))))))), A(b(b(x0))))
   A(c_a(b(b(z0)))) -> c15(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(c_a(b(b(c_a(z0))))) -> c15(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(c_a(b(b(b(z0))))) -> c21(A(b(b(b(z0)))))
   A(c_a(c_a(x0))) -> c16(A(c_a(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(b(b(b(a(a(x0)))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(c_a(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(x0))) -> c16(A(a(b(b(a(x0))))), A(b(a(a(x0)))), A(a(x0)), A(x0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(c_a(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(z0))) -> c16(A(a(b(a(b(z0))))), A(b(a(a(z0)))), A(a(z0)), A(z0))
   A(c_a(c_a(b(z0)))) -> c16(A(a(b(a(b(b(b(z0))))))), A(b(a(a(b(z0))))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(b(b(z0))))) -> c16(A(a(b(a(b(b(b(b(b(z0))))))))), A(b(a(a(b(b(z0)))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(b(b(b(z0)))))) -> c16(A(a(b(a(b(b(b(b(b(b(b(z0))))))))))), A(b(a(a(b(b(b(z0))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(b(b(c_a(z0)))))) -> c16(A(a(b(a(b(b(a(b(b(b(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(c_a(z0)))))) -> c16(A(a(b(a(b(a(a(b(b(a(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(z0))))) -> c16(A(a(b(a(b(a(b(b(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(b(z0)))))) -> c16(A(a(b(a(b(a(b(b(b(a(b(z0))))))))))), A(b(a(a(b(c_a(b(z0))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(c_a(z0)))))) -> c16(A(a(b(a(a(b(a(b(a(b(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(c_a(z0)))) -> c16(A(a(b(a(a(b(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(b(z0))))) -> c16(A(a(b(a(a(b(b(a(b(z0))))))))), A(b(a(a(c_a(b(z0)))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(b(z0)))))) -> c16(A(a(b(a(a(a(b(b(a(a(b(z0))))))))))), A(b(a(a(c_a(c_a(b(z0))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c16(A(a(b(a(a(b(b(b(a(b(b(z0))))))))))), A(b(a(a(c_a(b(b(z0))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(z0))))) -> c16(A(a(b(a(a(a(b(a(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(c_a(z0)))))) -> c16(A(a(b(a(a(a(a(b(a(a(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(b(c_a(z0))) -> c17(A(b(b(c_a(z0)))), A(z0))
   A(b(c_a(z0))) -> c17(A(b(b(b(z0)))), A(z0))
   A(b(c_a(b(z0)))) -> c17(A(b(b(b(b(b(z0)))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c17(A(b(b(b(b(b(b(b(z0)))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c17(A(b(b(b(b(a(b(b(b(a(z0)))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c17(A(b(b(b(a(a(b(b(a(a(z0)))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(c_a(b(c_a(z0)))))) -> c17(A(b(b(a(b(a(b(a(b(a(z0)))))))))), A(c_a(b(c_a(z0)))))
   A(b(c_a(c_a(z0)))) -> c17(A(b(b(a(b(a(z0)))))), A(c_a(z0)))
   A(b(c_a(c_a(b(z0))))) -> c17(A(b(b(a(b(b(a(b(z0)))))))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(b(z0)))))) -> c17(A(b(b(a(a(b(b(a(a(b(z0)))))))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(b(b(z0)))))) -> c17(A(b(b(a(b(b(b(a(b(b(z0)))))))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(z0))))) -> c17(A(b(b(a(a(b(a(a(z0)))))))), A(c_a(c_a(z0))))
   A(b(c_a(b(c_a(z0))))) -> c17(A(b(b(b(a(b(b(a(z0)))))))), A(b(c_a(z0))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c17(A(b(b(a(a(a(b(a(a(a(z0)))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(b(z0)))))) -> c17(A(b(b(b(a(b(b(b(a(b(z0)))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(b(b(b(b(b(b(z0)))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c22(A(b(b(b(z0)))))
   A(c_a(c_a(c_a(x0)))) -> c18(A(c_a(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(b(a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(c_a(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(b(b(b(a(a(a(x0)))))))), A(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(x0)))) -> c18(A(a(a(b(c_a(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(b(a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(c_a(a(x0))))))), A(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(x0)))) -> c18(A(a(a(b(a(b(a(x0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(c_a(z0))))))), A(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(z0)))) -> c18(A(a(a(b(a(a(b(z0))))))), A(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(b(z0))))) -> c18(A(a(a(b(a(a(b(b(b(z0))))))))), A(a(b(a(a(a(b(z0))))))), A(b(a(a(a(b(z0)))))), A(a(a(b(z0)))), A(a(b(z0))), A(b(z0)))
   A(c_a(c_a(c_a(b(b(z0)))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(z0))))))))))), A(a(b(a(a(a(b(b(z0)))))))), A(b(a(a(a(b(b(z0))))))), A(a(a(b(b(z0))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(c_a(c_a(c_a(b(b(b(z0))))))) -> c18(A(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))), A(a(b(a(a(a(b(b(b(z0))))))))), A(b(a(a(a(b(b(b(z0)))))))), A(a(a(b(b(b(z0)))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(c_a(c_a(c_a(b(b(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))), A(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(b(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))), A(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(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))), A(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(z0))))) -> c18(A(a(a(b(a(a(a(b(a(z0))))))))), A(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(b(z0)))))) -> c18(A(a(a(b(a(a(a(b(b(a(b(z0))))))))))), A(a(b(a(a(a(c_a(b(z0)))))))), A(b(a(a(a(c_a(b(z0))))))), A(a(a(c_a(b(z0))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(c_a(c_a(c_a(c_a(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))), A(a(b(a(a(a(c_a(c_a(b(z0))))))))), A(b(a(a(a(c_a(c_a(b(z0)))))))), A(a(a(c_a(c_a(b(z0)))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(c_a(c_a(c_a(c_a(b(b(z0))))))) -> c18(A(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))), A(a(b(a(a(a(c_a(b(b(z0))))))))), A(b(a(a(a(c_a(b(b(z0)))))))), A(a(a(c_a(b(b(z0)))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(c_a(c_a(c_a(c_a(c_a(z0)))))) -> c18(A(a(a(b(a(a(a(a(b(a(a(z0))))))))))), A(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(b(c_a(z0)))))) -> c18(A(a(a(b(a(a(b(a(b(b(a(z0))))))))))), A(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(c_a(c_a(z0))))))) -> c18(A(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))), A(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(b(c_a(b(z0))))))) -> c18(A(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))), A(a(b(a(a(a(b(c_a(b(z0))))))))), A(b(a(a(a(b(c_a(b(z0)))))))), A(a(a(b(c_a(b(z0)))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(c_a(b(x0)))))), A(b(x0)))
   A(b(c_a(b(x0)))) -> c19(A(b(b(b(b(b(x0)))))), A(b(x0)))
   A(b(c_a(b(z0)))) -> c19(A(b(b(b(b(b(b(z0))))))), A(b(z0)))
   A(b(c_a(b(b(z0))))) -> c19(A(b(b(b(b(b(b(b(b(z0))))))))), A(b(b(z0))))
   A(b(c_a(b(b(c_a(z0)))))) -> c19(A(b(b(b(b(b(a(b(b(b(a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(c_a(b(c_a(c_a(z0)))))) -> c19(A(b(b(b(b(a(a(b(b(a(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(c_a(b(c_a(z0))))) -> c19(A(b(b(b(b(a(b(b(a(z0))))))))), A(b(c_a(z0))))
   A(b(c_a(b(c_a(b(z0)))))) -> c19(A(b(b(b(b(a(b(b(b(a(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(b(b(b(b(b(b(b(z0))))))))))))
   A(b(c_a(b(b(b(z0)))))) -> c23(A(b(b(b(z0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(c_a(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(x0))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(b(a(x0)))))))))))))), A(b(b(c_a(x0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(c_a(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(z0))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(z0))))))))))), A(b(b(c_a(z0)))))
   A(b(b(c_a(b(b(c_a(b(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(z0))))))))))))), A(b(b(c_a(b(z0))))))
   A(b(b(c_a(b(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(b(c_a(b(b(z0)))))))
   A(b(b(c_a(b(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(a(z0))))))))))))), A(b(b(c_a(c_a(z0))))))
   A(b(b(c_a(b(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(a(b(z0))))))))))))))), A(b(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(b(a(a(z0))))))))))))))), A(b(b(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(a(z0))))))))))))))), A(b(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(b(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(b(c_a(x0))))))) -> c9(A(b(b(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(c_a(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(c_a(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(x0)))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(a(x0))))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(c_a(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(b(b(a(x0))))))))))), A(b(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(c_a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(b(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(b(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(b(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(b(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(b(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(b(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(b(c_a(c_a(x0))))))) -> c9(A(b(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(c_a(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(b(b(b(a(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(c_a(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(c_a(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(x0))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(b(b(b(a(x0)))))))))))), A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(c_a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(b(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(b(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(a(z0))))))))))))))), A(c_a(b(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(b(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(b(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), A(c_a(b(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(b(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(b(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(b(a(a(z0))))))))))))))), 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(c_a(z0)))))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(b(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(b(c_a(x0))))))) -> c9(A(c_a(b(c_a(x0)))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(c_a(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(a(x0))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(x0))))) -> c9(A(b(b(b(b(b(b(a(x0)))))))), A(c_a(x0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(c_a(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(z0))))) -> c9(A(b(b(b(a(b(b(z0))))))), A(c_a(z0)))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(z0))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(z0))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(z0))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(a(a(b(b(a(a(z0))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(a(b(b(a(z0))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(a(b(b(b(a(b(z0))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(b(a(b(a(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(b(a(b(a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(b(a(b(b(a(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(a(a(b(b(a(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(b(a(b(b(b(a(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(b(a(a(b(a(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(a(a(a(b(a(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(x0))))) -> c9(A(c_a(x0)))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(c_a(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(b(x0)))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(b(b(b(a(b(b(c_a(b(x0))))))))), A(c_a(b(x0))))
   A(b(b(c_a(c_a(b(z0)))))) -> c9(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(c_a(b(z0))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(z0)))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(a(b(b(b(a(z0)))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(b(a(a(z0)))))))))))))), A(c_a(b(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(b(c_a(z0))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(a(z0)))))))))))), A(c_a(b(c_a(z0)))))
   A(b(b(c_a(c_a(b(c_a(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(a(b(b(b(a(b(z0)))))))))))))), A(c_a(b(c_a(b(z0))))))
   A(b(b(c_a(c_a(b(x0)))))) -> c9(A(c_a(b(x0))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(c_a(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(c_a(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(a(a(b(x0)))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(a(b(x0))))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(c_a(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(c_a(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(x0))))))))))), A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(z0)))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(z0)))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(b(a(b(b(b(a(z0)))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(a(b(b(a(a(z0)))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(a(z0)))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(x0))))))) -> c9(A(c_a(c_a(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(c_a(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(b(x0))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(b(x0)))))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(b(b(b(a(b(b(b(c_a(b(b(x0))))))))))), A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(b(b(z0))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(z0))))))))))))), A(c_a(b(b(z0)))))
   A(b(b(c_a(c_a(b(b(b(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(b(b(b(z0))))))
   A(b(b(c_a(c_a(b(b(c_a(z0)))))))) -> c9(A(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(b(b(c_a(z0))))))
   A(b(b(c_a(c_a(b(b(x0))))))) -> c9(A(c_a(b(b(x0)))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(c_a(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(b(a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(c_a(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(b(b(b(a(a(x0)))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(c_a(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(b(b(b(a(a(b(b(a(x0))))))))), A(c_a(c_a(x0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(c_a(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(z0)))))) -> c9(A(b(b(b(a(a(b(a(b(z0))))))))), A(c_a(c_a(z0))))
   A(b(b(c_a(c_a(c_a(b(z0))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(z0))))))))))), A(c_a(c_a(b(z0)))))
   A(b(b(c_a(c_a(c_a(b(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(z0))))))))))))), A(c_a(c_a(b(b(z0))))))
   A(b(b(c_a(c_a(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(b(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(b(a(b(b(b(a(z0))))))))))))))), A(c_a(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(a(b(b(a(a(z0))))))))))))))), A(c_a(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(b(a(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(b(a(a(b(a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(a(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(b(a(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(b(b(b(a(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(a(a(b(a(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(a(z0))))))))))))), A(c_a(c_a(b(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(b(a(a(a(a(b(a(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(b(a(b(a(b(b(b(a(b(z0))))))))))))))), A(c_a(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(x0)))))) -> c9(A(c_a(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(c_a(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(a(x0)))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(x0))))))))))), A(b(c_a(x0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(c_a(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(z0)))))) -> c9(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(c_a(z0))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(z0))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(z0))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(a(b(b(a(a(z0))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(b(a(b(a(z0))))))))))))))), A(b(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(c_a(z0))))))) -> c9(A(b(b(b(b(a(b(b(a(b(a(z0))))))))))), A(b(c_a(c_a(z0)))))
   A(b(b(c_a(b(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(a(b(z0))))))))))))), A(b(c_a(c_a(b(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(b(a(a(b(z0))))))))))))))), A(b(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(b(b(b(a(b(b(z0))))))))))))))), A(b(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(b(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(a(a(b(a(a(z0))))))))))))), A(b(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(a(z0))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(a(a(a(b(a(a(a(z0))))))))))))))), A(b(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(a(b(b(b(a(b(z0))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(x0)))))) -> c9(A(b(c_a(x0))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(c_a(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(b(a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(c_a(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(b(a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(c_a(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(b(b(b(a(a(a(x0)))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(c_a(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(b(a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(c_a(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(b(b(b(a(a(a(b(a(b(a(x0))))))))))), A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(c_a(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(z0))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(z0))))))))))), A(c_a(c_a(c_a(z0)))))
   A(b(b(c_a(c_a(c_a(c_a(b(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(z0))))))))))))), A(c_a(c_a(c_a(b(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(z0))))))))))))))), A(c_a(c_a(c_a(b(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(b(b(b(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(b(a(b(b(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(a(b(b(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(b(a(b(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(z0)))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(a(z0))))))))))))), A(c_a(c_a(c_a(c_a(z0))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(a(b(z0))))))))))))))), A(c_a(c_a(c_a(c_a(b(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(b(a(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(b(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(b(b(b(a(b(b(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(b(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(b(a(a(z0))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(z0))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(a(z0))))))))))))))), A(c_a(c_a(c_a(b(c_a(z0)))))))
   A(b(b(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(a(a(a(b(a(a(a(z0))))))))))))))))), A(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(b(c_a(b(z0)))))))))) -> c9(A(b(b(b(a(a(a(b(a(a(b(a(b(b(b(a(b(z0))))))))))))))))), A(c_a(c_a(c_a(b(c_a(b(z0))))))))
   A(b(b(c_a(c_a(c_a(c_a(x0))))))) -> c9(A(c_a(c_a(c_a(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(c_a(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(a(b(x0))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(b(b(b(b(b(b(b(a(b(x0)))))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(b(b(b(a(b(b(b(c_a(b(x0))))))))))), A(b(c_a(b(x0)))))
   A(b(b(c_a(b(c_a(b(z0))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(z0)))))))))))), A(b(c_a(b(z0)))))
   A(b(b(c_a(b(c_a(b(b(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(z0)))))))))))))), A(b(c_a(b(b(z0))))))
   A(b(b(c_a(b(c_a(b(b(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))))))), A(b(c_a(b(b(b(z0)))))))
   A(b(b(c_a(b(c_a(b(b(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(b(a(b(b(b(a(z0)))))))))))))))), A(b(c_a(b(b(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(c_a(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(a(b(b(a(a(z0)))))))))))))))), A(b(c_a(b(c_a(c_a(z0)))))))
   A(b(b(c_a(b(c_a(b(c_a(z0)))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(a(z0)))))))))))))), A(b(c_a(b(c_a(z0))))))
   A(b(b(c_a(b(c_a(b(c_a(b(z0))))))))) -> c9(A(b(b(b(b(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))))))), A(b(c_a(b(c_a(b(z0)))))))
   A(b(b(c_a(b(c_a(b(x0))))))) -> c9(A(b(c_a(b(x0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(c_a(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(c_a(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(c_a(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(c_a(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(c_a(b(b(a(a(b(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(b(z0)))))) -> c10(A(c_a(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(c_a(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(c_a(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(c_a(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(c_a(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(c_a(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(a(x0))))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(c_a(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(a(x0)))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(c_a(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(a(x0))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(c_a(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(a(b(z0))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(a(b(b(b(z0))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(z0))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(a(b(b(b(b(b(b(b(z0))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(a(a(b(b(a(b(z0))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(a(a(b(b(a(a(b(z0))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(a(a(b(b(b(a(b(b(z0))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(a(b(a(b(b(b(a(b(z0))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(c_a(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(b(a(x0)))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(b(a(c_a(z0)))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(b(b(b(b(b(a(b(z0)))))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(b(b(b(b(b(a(b(b(b(z0)))))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(b(b(b(b(b(a(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(b(b(b(b(b(a(b(b(b(b(b(b(b(z0)))))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(b(b(b(b(b(a(a(b(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(b(z0)))))) -> c10(A(b(b(b(b(b(a(a(b(b(a(b(z0)))))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(b(b(b(b(b(a(a(a(b(b(a(a(b(z0)))))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(b(b(b(b(b(a(a(b(b(b(a(b(b(z0)))))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(b(b(b(b(b(a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(b(b(b(b(b(a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(b(b(b(b(b(a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(b(b(b(b(b(a(b(a(b(b(b(a(b(z0)))))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(a(b(b(b(a(a(x0))))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(c_a(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(c_a(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(c_a(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(c_a(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(c_a(b(b(a(b(b(b(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(b(b(b(z0))))))) -> c10(A(a(b(b(c_a(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(c_a(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(c_a(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(c_a(a(b(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(b(z0)))))) -> c10(A(a(b(b(c_a(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(c_a(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(c_a(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(c_a(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(c_a(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(c_a(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(c_a(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(z0)))))
   A(b(c_a(c_a(x0)))) -> c10(A(b(b(b(b(b(b(b(a(x0))))))))), A(b(b(a(a(x0))))), A(a(x0)), A(x0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(b(c_a(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(z0)))) -> c10(A(a(b(b(b(b(z0)))))), A(b(b(a(a(z0))))), A(a(z0)), A(z0))
   A(b(c_a(c_a(b(z0))))) -> c10(A(a(b(b(b(b(b(b(z0)))))))), A(b(b(a(a(b(z0)))))), A(a(b(z0))), A(b(z0)))
   A(b(c_a(c_a(b(b(z0)))))) -> c10(A(a(b(b(b(b(b(b(b(b(z0)))))))))), A(b(b(a(a(b(b(z0))))))), A(a(b(b(z0)))), A(b(b(z0))))
   A(b(c_a(c_a(b(b(b(z0))))))) -> c10(A(a(b(b(b(b(b(b(b(b(b(b(z0)))))))))))), A(b(b(a(a(b(b(b(z0)))))))), A(a(b(b(b(z0))))), A(b(b(b(z0)))))
   A(b(c_a(c_a(b(b(c_a(z0))))))) -> c10(A(a(b(b(b(b(b(a(b(b(b(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(b(c_a(c_a(z0))))))) -> c10(A(a(b(b(b(b(a(a(b(b(a(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(c_a(z0))))))) -> c10(A(a(b(b(b(a(b(a(b(a(b(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(b(c_a(c_a(c_a(z0))))) -> c10(A(a(b(b(b(a(b(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(b(z0)))))) -> c10(A(a(b(b(b(a(b(b(a(b(z0)))))))))), A(b(b(a(a(c_a(b(z0))))))), A(a(c_a(b(z0)))), A(c_a(b(z0))))
   A(b(c_a(c_a(c_a(c_a(b(z0))))))) -> c10(A(a(b(b(b(a(a(b(b(a(a(b(z0)))))))))))), A(b(b(a(a(c_a(c_a(b(z0)))))))), A(a(c_a(c_a(b(z0))))), A(c_a(c_a(b(z0)))))
   A(b(c_a(c_a(c_a(b(b(z0))))))) -> c10(A(a(b(b(b(a(b(b(b(a(b(b(z0)))))))))))), A(b(b(a(a(c_a(b(b(z0)))))))), A(a(c_a(b(b(z0))))), A(c_a(b(b(z0)))))
   A(b(c_a(c_a(c_a(c_a(z0)))))) -> c10(A(a(b(b(b(a(a(b(a(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(b(c_a(z0)))))) -> c10(A(a(b(b(b(b(a(b(b(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(c_a(c_a(z0))))))) -> c10(A(a(b(b(b(a(a(a(b(a(a(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(b(c_a(b(z0))))))) -> c10(A(a(b(b(b(b(a(b(b(b(a(b(z0)))))))))))), A(b(b(a(a(b(c_a(b(z0)))))))), A(a(b(c_a(b(z0))))), A(b(c_a(b(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, c1_2, c5, c6, c7, c8, c3_1, c9_2, c2_1, c10_4, c11_4, c12_2, c4_1, c13_2, c20_1, c14_4, c15_2, c21_1, c16_4, c17_2, c22_1, c18_6, c19_2, c23_1, c9_1, c10_1