/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 33 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), 11 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 414 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 1 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 806 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 33 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 43 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 2 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 7 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 593 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 3108 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 888 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 887 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 870 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2324 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3976 ms]
        (56) CdtProblem
        (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5215 ms]
        (58) CdtProblem
        (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6590 ms]
        (60) CdtProblem
        (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4450 ms]
        (62) 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:

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

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(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:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(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:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(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:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(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:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

(10)
Obligation:
TRS:
Rules:
0(0(0(1(0(2(2(2(2(2(0(0(0(x1))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(x1)))))))))))))))))
0(0(0(1(2(0(2(2(2(2(2(1(0(x1))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(x1)))))))))))))))))
0(0(0(1(2(1(2(1(1(1(0(1(2(x1))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(x1)))))))))))))))))
0(0(0(1(2(1(2(2(2(0(1(2(0(x1))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(x1)))))))))))))))))
0(0(0(2(2(2(0(2(1(2(0(2(1(x1))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(x1)))))))))))))))))
0(0(1(1(0(2(0(0(2(2(0(2(1(x1))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(x1)))))))))))))))))
0(0(1(1(0(2(0(1(1(0(0(1(0(x1))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(x1)))))))))))))))))
0(0(1(1(0(2(2(2(1(1(2(1(0(x1))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(x1)))))))))))))))))
0(0(1(1(2(1(1(1(1(0(2(0(2(x1))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x1)))))))))))))))))
0(0(1(2(1(2(1(1(1(0(1(0(0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x1)))))))))))))))))
0(0(2(1(0(0(1(1(2(0(0(1(0(x1))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x1)))))))))))))))))
0(0(2(1(0(2(0(1(0(2(0(1(0(x1))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(x1)))))))))))))))))
0(0(2(1(1(2(0(2(1(1(0(2(0(x1))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(x1)))))))))))))))))
0(0(2(1(2(1(1(1(1(2(0(0(1(x1))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(x1)))))))))))))))))
0(0(2(1(2(1(2(0(0(0(2(0(1(x1))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(x1)))))))))))))))))
0(1(0(0(2(0(0(1(1(1(2(1(0(x1))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(x1)))))))))))))))))
0(1(0(1(1(1(0(0(2(2(1(2(0(x1))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(x1)))))))))))))))))
0(1(0(1(2(0(0(1(0(1(1(0(1(x1))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x1)))))))))))))))))
0(1(0(2(1(2(1(2(1(1(1(0(0(x1))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(x1)))))))))))))))))
0(1(1(0(1(0(2(1(1(0(0(0(2(x1))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x1)))))))))))))))))
0(1(1(0(2(0(2(2(1(1(2(0(0(x1))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(x1)))))))))))))))))
0(1(1(0(2(1(1(1(2(2(0(2(0(x1))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(x1)))))))))))))))))
0(1(1(0(2(1(2(2(1(1(0(2(1(x1))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(x1)))))))))))))))))
0(1(1(1(0(2(1(1(1(0(2(1(0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(x1)))))))))))))))))
0(1(2(0(2(1(0(2(0(2(2(2(1(x1))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(x1)))))))))))))))))
0(1(2(0(2(1(2(0(1(0(0(0(0(x1))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(x1)))))))))))))))))
0(1(2(2(1(0(1(1(0(1(0(1(1(x1))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(x1)))))))))))))))))
0(1(2(2(2(0(1(0(0(2(0(0(0(x1))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(x1)))))))))))))))))
0(1(2(2(2(2(0(2(1(2(0(0(0(x1))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(x1)))))))))))))))))
0(2(0(0(1(0(0(2(0(2(0(0(1(x1))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(x1)))))))))))))))))
0(2(0(2(0(2(0(1(2(2(0(2(0(x1))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(x1)))))))))))))))))
0(2(0(2(1(2(1(0(0(0(2(2(0(x1))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(x1)))))))))))))))))
0(2(1(0(0(2(0(1(1(2(1(2(2(x1))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(x1)))))))))))))))))
0(2(1(0(1(1(0(2(2(0(1(0(0(x1))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(x1)))))))))))))))))
0(2(1(0(1(2(1(2(2(0(0(0(0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(x1)))))))))))))))))
0(2(1(2(1(0(0(1(2(2(1(0(2(x1))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(x1)))))))))))))))))
0(2(1(2(1(0(1(2(0(2(0(1(0(x1))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(x1)))))))))))))))))
0(2(1(2(1(1(1(2(2(0(0(0(1(x1))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(x1)))))))))))))))))
1(0(0(0(0(0(1(2(2(1(0(0(2(x1))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(x1)))))))))))))))))
1(0(1(1(2(1(1(2(0(0(2(0(0(x1))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(x1)))))))))))))))))
1(0(1(1(2(1(1(2(0(1(2(2(0(x1))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(x1)))))))))))))))))
1(0(1(2(0(2(2(2(0(1(1(1(0(x1))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(x1)))))))))))))))))
1(1(1(2(2(1(0(2(1(0(1(1(0(x1))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(x1)))))))))))))))))
1(2(1(0(2(0(1(0(2(0(0(1(0(x1))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(x1)))))))))))))))))
2(0(0(1(0(0(2(1(0(1(0(0(1(x1))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(x1)))))))))))))))))
2(0(1(1(0(0(2(1(2(1(0(0(0(x1))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(x1)))))))))))))))))
2(0(2(0(1(0(2(1(2(2(1(2(0(x1))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(x1)))))))))))))))))
2(0(2(1(0(0(2(1(1(1(2(0(0(x1))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(x1)))))))))))))))))
2(1(1(1(1(0(0(1(2(2(0(2(1(x1))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(x1)))))))))))))))))
2(1(1(1(1(1(2(2(1(0(0(1(0(x1))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(x1)))))))))))))))))
2(1(2(0(0(0(0(1(1(1(0(0(1(x1))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(x1)))))))))))))))))
2(2(0(0(0(0(1(0(0(1(0(2(2(x1))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(x1)))))))))))))))))
2(2(0(1(1(1(2(0(0(0(0(0(0(x1))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(x1)))))))))))))))))
2(2(2(1(0(1(2(1(2(0(1(0(2(x1))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(x1)))))))))))))))))
2(2(2(1(1(0(1(1(0(0(0(1(2(x1))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(x1)))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

Types:
0 :: 0:2:1:encArg:encode_0:encode_1:encode_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
1 :: 0:2:1:encArg:encode_0:encode_1:encode_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
2 :: 0:2:1:encArg:encode_0:encode_1:encode_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
hole_0:2:1:encArg:encode_0:encode_1:encode_21_3 :: 0:2:1:encArg:encode_0:encode_1:encode_2
hole_cons_0:cons_1:cons_22_3 :: cons_0:cons_1:cons_2
gen_cons_0:cons_1:cons_23_3 :: Nat -> cons_0:cons_1:cons_2

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

(11) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
0, 1, 2, encArg

They will be analysed ascendingly in the following order:
0 = 1
0 = 2
0 < encArg
1 = 2
1 < encArg
2 < encArg

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

(12)
Obligation:
TRS:
Rules:
0(0(0(1(0(2(2(2(2(2(0(0(0(x1))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(x1)))))))))))))))))
0(0(0(1(2(0(2(2(2(2(2(1(0(x1))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(x1)))))))))))))))))
0(0(0(1(2(1(2(1(1(1(0(1(2(x1))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(x1)))))))))))))))))
0(0(0(1(2(1(2(2(2(0(1(2(0(x1))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(x1)))))))))))))))))
0(0(0(2(2(2(0(2(1(2(0(2(1(x1))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(x1)))))))))))))))))
0(0(1(1(0(2(0(0(2(2(0(2(1(x1))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(x1)))))))))))))))))
0(0(1(1(0(2(0(1(1(0(0(1(0(x1))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(x1)))))))))))))))))
0(0(1(1(0(2(2(2(1(1(2(1(0(x1))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(x1)))))))))))))))))
0(0(1(1(2(1(1(1(1(0(2(0(2(x1))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x1)))))))))))))))))
0(0(1(2(1(2(1(1(1(0(1(0(0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x1)))))))))))))))))
0(0(2(1(0(0(1(1(2(0(0(1(0(x1))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x1)))))))))))))))))
0(0(2(1(0(2(0(1(0(2(0(1(0(x1))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(x1)))))))))))))))))
0(0(2(1(1(2(0(2(1(1(0(2(0(x1))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(x1)))))))))))))))))
0(0(2(1(2(1(1(1(1(2(0(0(1(x1))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(x1)))))))))))))))))
0(0(2(1(2(1(2(0(0(0(2(0(1(x1))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(x1)))))))))))))))))
0(1(0(0(2(0(0(1(1(1(2(1(0(x1))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(x1)))))))))))))))))
0(1(0(1(1(1(0(0(2(2(1(2(0(x1))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(x1)))))))))))))))))
0(1(0(1(2(0(0(1(0(1(1(0(1(x1))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x1)))))))))))))))))
0(1(0(2(1(2(1(2(1(1(1(0(0(x1))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(x1)))))))))))))))))
0(1(1(0(1(0(2(1(1(0(0(0(2(x1))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x1)))))))))))))))))
0(1(1(0(2(0(2(2(1(1(2(0(0(x1))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(x1)))))))))))))))))
0(1(1(0(2(1(1(1(2(2(0(2(0(x1))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(x1)))))))))))))))))
0(1(1(0(2(1(2(2(1(1(0(2(1(x1))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(x1)))))))))))))))))
0(1(1(1(0(2(1(1(1(0(2(1(0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(x1)))))))))))))))))
0(1(2(0(2(1(0(2(0(2(2(2(1(x1))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(x1)))))))))))))))))
0(1(2(0(2(1(2(0(1(0(0(0(0(x1))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(x1)))))))))))))))))
0(1(2(2(1(0(1(1(0(1(0(1(1(x1))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(x1)))))))))))))))))
0(1(2(2(2(0(1(0(0(2(0(0(0(x1))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(x1)))))))))))))))))
0(1(2(2(2(2(0(2(1(2(0(0(0(x1))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(x1)))))))))))))))))
0(2(0(0(1(0(0(2(0(2(0(0(1(x1))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(x1)))))))))))))))))
0(2(0(2(0(2(0(1(2(2(0(2(0(x1))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(x1)))))))))))))))))
0(2(0(2(1(2(1(0(0(0(2(2(0(x1))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(x1)))))))))))))))))
0(2(1(0(0(2(0(1(1(2(1(2(2(x1))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(x1)))))))))))))))))
0(2(1(0(1(1(0(2(2(0(1(0(0(x1))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(x1)))))))))))))))))
0(2(1(0(1(2(1(2(2(0(0(0(0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(x1)))))))))))))))))
0(2(1(2(1(0(0(1(2(2(1(0(2(x1))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(x1)))))))))))))))))
0(2(1(2(1(0(1(2(0(2(0(1(0(x1))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(x1)))))))))))))))))
0(2(1(2(1(1(1(2(2(0(0(0(1(x1))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(x1)))))))))))))))))
1(0(0(0(0(0(1(2(2(1(0(0(2(x1))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(x1)))))))))))))))))
1(0(1(1(2(1(1(2(0(0(2(0(0(x1))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(x1)))))))))))))))))
1(0(1(1(2(1(1(2(0(1(2(2(0(x1))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(x1)))))))))))))))))
1(0(1(2(0(2(2(2(0(1(1(1(0(x1))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(x1)))))))))))))))))
1(1(1(2(2(1(0(2(1(0(1(1(0(x1))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(x1)))))))))))))))))
1(2(1(0(2(0(1(0(2(0(0(1(0(x1))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(x1)))))))))))))))))
2(0(0(1(0(0(2(1(0(1(0(0(1(x1))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(x1)))))))))))))))))
2(0(1(1(0(0(2(1(2(1(0(0(0(x1))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(x1)))))))))))))))))
2(0(2(0(1(0(2(1(2(2(1(2(0(x1))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(x1)))))))))))))))))
2(0(2(1(0(0(2(1(1(1(2(0(0(x1))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(x1)))))))))))))))))
2(1(1(1(1(0(0(1(2(2(0(2(1(x1))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(x1)))))))))))))))))
2(1(1(1(1(1(2(2(1(0(0(1(0(x1))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(x1)))))))))))))))))
2(1(2(0(0(0(0(1(1(1(0(0(1(x1))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(x1)))))))))))))))))
2(2(0(0(0(0(1(0(0(1(0(2(2(x1))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(x1)))))))))))))))))
2(2(0(1(1(1(2(0(0(0(0(0(0(x1))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(x1)))))))))))))))))
2(2(2(1(0(1(2(1(2(0(1(0(2(x1))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(x1)))))))))))))))))
2(2(2(1(1(0(1(1(0(0(0(1(2(x1))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(x1)))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

Types:
0 :: 0:2:1:encArg:encode_0:encode_1:encode_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
1 :: 0:2:1:encArg:encode_0:encode_1:encode_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
2 :: 0:2:1:encArg:encode_0:encode_1:encode_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
hole_0:2:1:encArg:encode_0:encode_1:encode_21_3 :: 0:2:1:encArg:encode_0:encode_1:encode_2
hole_cons_0:cons_1:cons_22_3 :: cons_0:cons_1:cons_2
gen_cons_0:cons_1:cons_23_3 :: Nat -> cons_0:cons_1:cons_2


Generator Equations:
gen_cons_0:cons_1:cons_23_3(0) <=> hole_cons_0:cons_1:cons_22_3
gen_cons_0:cons_1:cons_23_3(+(x, 1)) <=> cons_0(gen_cons_0:cons_1:cons_23_3(x))


The following defined symbols remain to be analysed:
1, 0, 2, encArg

They will be analysed ascendingly in the following order:
0 = 1
0 = 2
0 < encArg
1 = 2
1 < encArg
2 < encArg

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

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

(14)
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:

   0(0(0(1(0(2(2(2(2(2(0(0(0(x1))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(x1)))))))))))))))))
   0(0(0(1(2(0(2(2(2(2(2(1(0(x1))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(x1)))))))))))))))))
   0(0(0(1(2(1(2(1(1(1(0(1(2(x1))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(x1)))))))))))))))))
   0(0(0(1(2(1(2(2(2(0(1(2(0(x1))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(x1)))))))))))))))))
   0(0(0(2(2(2(0(2(1(2(0(2(1(x1))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(x1)))))))))))))))))
   0(0(1(1(0(2(0(0(2(2(0(2(1(x1))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(x1)))))))))))))))))
   0(0(1(1(0(2(0(1(1(0(0(1(0(x1))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(x1)))))))))))))))))
   0(0(1(1(0(2(2(2(1(1(2(1(0(x1))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(x1)))))))))))))))))
   0(0(1(1(2(1(1(1(1(0(2(0(2(x1))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x1)))))))))))))))))
   0(0(1(2(1(2(1(1(1(0(1(0(0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x1)))))))))))))))))
   0(0(2(1(0(0(1(1(2(0(0(1(0(x1))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x1)))))))))))))))))
   0(0(2(1(0(2(0(1(0(2(0(1(0(x1))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(x1)))))))))))))))))
   0(0(2(1(1(2(0(2(1(1(0(2(0(x1))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(x1)))))))))))))))))
   0(0(2(1(2(1(1(1(1(2(0(0(1(x1))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(x1)))))))))))))))))
   0(0(2(1(2(1(2(0(0(0(2(0(1(x1))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(x1)))))))))))))))))
   0(1(0(0(2(0(0(1(1(1(2(1(0(x1))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(x1)))))))))))))))))
   0(1(0(1(1(1(0(0(2(2(1(2(0(x1))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(x1)))))))))))))))))
   0(1(0(1(2(0(0(1(0(1(1(0(1(x1))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x1)))))))))))))))))
   0(1(0(2(1(2(1(2(1(1(1(0(0(x1))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(x1)))))))))))))))))
   0(1(1(0(1(0(2(1(1(0(0(0(2(x1))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x1)))))))))))))))))
   0(1(1(0(2(0(2(2(1(1(2(0(0(x1))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(x1)))))))))))))))))
   0(1(1(0(2(1(1(1(2(2(0(2(0(x1))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(x1)))))))))))))))))
   0(1(1(0(2(1(2(2(1(1(0(2(1(x1))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(x1)))))))))))))))))
   0(1(1(1(0(2(1(1(1(0(2(1(0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(x1)))))))))))))))))
   0(1(2(0(2(1(0(2(0(2(2(2(1(x1))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(x1)))))))))))))))))
   0(1(2(0(2(1(2(0(1(0(0(0(0(x1))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(x1)))))))))))))))))
   0(1(2(2(1(0(1(1(0(1(0(1(1(x1))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(x1)))))))))))))))))
   0(1(2(2(2(0(1(0(0(2(0(0(0(x1))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(x1)))))))))))))))))
   0(1(2(2(2(2(0(2(1(2(0(0(0(x1))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(x1)))))))))))))))))
   0(2(0(0(1(0(0(2(0(2(0(0(1(x1))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(x1)))))))))))))))))
   0(2(0(2(0(2(0(1(2(2(0(2(0(x1))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(x1)))))))))))))))))
   0(2(0(2(1(2(1(0(0(0(2(2(0(x1))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(x1)))))))))))))))))
   0(2(1(0(0(2(0(1(1(2(1(2(2(x1))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(x1)))))))))))))))))
   0(2(1(0(1(1(0(2(2(0(1(0(0(x1))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(x1)))))))))))))))))
   0(2(1(0(1(2(1(2(2(0(0(0(0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(x1)))))))))))))))))
   0(2(1(2(1(0(0(1(2(2(1(0(2(x1))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(x1)))))))))))))))))
   0(2(1(2(1(0(1(2(0(2(0(1(0(x1))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(x1)))))))))))))))))
   0(2(1(2(1(1(1(2(2(0(0(0(1(x1))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(x1)))))))))))))))))
   1(0(0(0(0(0(1(2(2(1(0(0(2(x1))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(x1)))))))))))))))))
   1(0(1(1(2(1(1(2(0(0(2(0(0(x1))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(x1)))))))))))))))))
   1(0(1(1(2(1(1(2(0(1(2(2(0(x1))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(x1)))))))))))))))))
   1(0(1(2(0(2(2(2(0(1(1(1(0(x1))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(x1)))))))))))))))))
   1(1(1(2(2(1(0(2(1(0(1(1(0(x1))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(x1)))))))))))))))))
   1(2(1(0(2(0(1(0(2(0(0(1(0(x1))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(x1)))))))))))))))))
   2(0(0(1(0(0(2(1(0(1(0(0(1(x1))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(x1)))))))))))))))))
   2(0(1(1(0(0(2(1(2(1(0(0(0(x1))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(x1)))))))))))))))))
   2(0(2(0(1(0(2(1(2(2(1(2(0(x1))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(x1)))))))))))))))))
   2(0(2(1(0(0(2(1(1(1(2(0(0(x1))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(x1)))))))))))))))))
   2(1(1(1(1(0(0(1(2(2(0(2(1(x1))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(x1)))))))))))))))))
   2(1(1(1(1(1(2(2(1(0(0(1(0(x1))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(x1)))))))))))))))))
   2(1(2(0(0(0(0(1(1(1(0(0(1(x1))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(x1)))))))))))))))))
   2(2(0(0(0(0(1(0(0(1(0(2(2(x1))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(x1)))))))))))))))))
   2(2(0(1(1(1(2(0(0(0(0(0(0(x1))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(x1)))))))))))))))))
   2(2(2(1(0(1(2(1(2(0(1(0(2(x1))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(x1)))))))))))))))))
   2(2(2(1(1(0(1(1(0(0(0(1(2(x1))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(x1)))))))))))))))))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

(16)
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:

   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x1)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x1)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x1))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x1)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x1)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x1)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(x1)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(x1)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(x1))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(x1)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(x1)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(x1)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(x1)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(x1)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(x1)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(x1))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(x1)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(x1)))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(x1)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(x1))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(x1)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(x1)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(x1)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(x1)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(x1))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(x1)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(x1))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(x1)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(x1)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(x1)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(x1)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(x1)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(x1))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(x1)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(x1)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(x1)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(x1))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(x1)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(x1)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(x1))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(x1)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(x1))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(x1)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(x1)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(x1)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(x1))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(x1)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(x1)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(x1)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(x1)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(x1)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(x1)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(x1)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(x1)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(x1))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(x1)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(x1))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(x1)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(x1)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(x1)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(x1))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(x1)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(x1))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(x1)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(x1))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(x1)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(x1))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(x1)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(x1)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(x1)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(x1))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(x1)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(x1)))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)

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

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

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

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


The TRS R consists of the following rules:

   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x1)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x1)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x1))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x1)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x1)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x1)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(x1)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(x1)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(x1))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(x1)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(x1)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(x1)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(x1)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(x1)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(x1)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(x1))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(x1)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(x1)))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(x1)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(x1))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(x1)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(x1)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(x1)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(x1)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(x1))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(x1)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(x1))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(x1)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(x1)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(x1)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(x1)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(x1)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(x1))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(x1)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(x1)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(x1)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(x1))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(x1)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(x1)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(x1))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(x1)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(x1))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(x1)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(x1)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(x1)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(x1))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(x1)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(x1)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(x1)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(x1)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(x1)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(x1)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(x1)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(x1)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(x1))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(x1)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(x1))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(x1)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(x1)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(x1)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(x1))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(x1)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(x1))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(x1)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(x1))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(x1)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(x1))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(x1)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(x1)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(x1)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(x1))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(x1)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(x1)))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)

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

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

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


The TRS R consists of the following rules:

   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x1))))))))))))))))) [1]
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x1))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x1))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x1))))))))))))))))) [1]
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x1))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x1))))))))))))))))) [1]
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(x1))))))))))))))))) [1]
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(x1))))))))))))))))) [1]
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(x1))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(x1))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(x1))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(x1))))))))))))))))) [1]
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(x1))))))))))))))))) [1]
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(x1))))))))))))))))) [1]
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(x1))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(x1))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(x1))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(x1))))))))))))))))) [1]
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(x1))))))))))))))))) [1]
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(x1))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))) [1]
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(x1))))))))))))))))) [1]
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(x1))))))))))))))))) [1]
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(x1))))))))))))))))) [1]
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(x1))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(x1))))))))))))))))) [1]
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(x1))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(x1))))))))))))))))) [1]
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(x1))))))))))))))))) [1]
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(x1))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(x1))))))))))))))))) [1]
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(x1))))))))))))))))) [1]
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(x1))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(x1))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(x1))))))))))))))))) [1]
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(x1))))))))))))))))) [1]
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(x1))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(x1))))))))))))))))) [1]
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(x1))))))))))))))))) [1]
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(x1))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(x1))))))))))))))))) [1]
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(x1))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(x1))))))))))))))))) [1]
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(x1))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(x1))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(x1))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(x1))))))))))))))))) [1]
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(x1))))))))))))))))) [1]
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(x1))))))))))))))))) [1]
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(x1))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(x1))))))))))))))))) [1]
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(x1))))))))))))))))) [1]
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(x1))))))))))))))))) [1]
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(x1))))))))))))))))) [1]
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(x1))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(x1))))))))))))))))) [1]
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(x1))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(x1))))))))))))))))) [1]
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(x1))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(x1))))))))))))))))) [1]
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(x1))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(x1))))))))))))))))) [1]
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(x1))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(x1))))))))))))))))) [1]
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(x1))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(x1))))))))))))))))) [1]
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(x1))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(x1))))))))))))))))) [1]
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(x1))))))))))))))))) [1]
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(x1))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(x1))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(x1))))))))))))))))) [1]
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(x1))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2(encArg(x_1)) [0]
   encode_0(x_1) -> 0(encArg(x_1)) [0]
   encode_1(x_1) -> 1(encArg(x_1)) [0]
   encode_2(x_1) -> 2(encArg(x_1)) [0]
   0(x0) -> c_0(x0) [0]
   1(x0) -> c_1(x0) [0]
   2(x0) -> c_2(x0) [0]

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

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

0 => 0'
1 => 1'
2 => 2'

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

(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:

   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x1))))))))))))) -> 0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 0'(0'(1'(2'(0'(0'(0'(2'(1'(2'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(x1))))))))))))) -> 1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(0'(2'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(1'(0'(0'(x1))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))) -> 1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1))))))))))))) -> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(x1))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(x1))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(x1))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))) -> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(2'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(x1))))))))))))) -> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(x1))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(x1))))))))))))) -> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0'(1'(0'(2'(2'(0'(0'(2'(2'(0'(0'(0'(0'(1'(0'(1'(0'(x1))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))) -> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(x1))))))))))))) -> 1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 0'(0'(2'(0'(2'(2'(0'(2'(0'(0'(0'(2'(0'(1'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(2'(2'(0'(2'(0'(1'(0'(2'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(x1))))))))))))) -> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0'(2'(2'(1'(2'(0'(0'(1'(0'(0'(2'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(0'(2'(2'(0'(0'(0'(0'(1'(2'(2'(0'(1'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(x1))))))))))))) -> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(0'(0'(1'(1'(0'(2'(2'(0'(1'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(x1))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))) -> 0'(0'(2'(0'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(2'(2'(0'(x1))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))) -> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x1))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0'(1'(1'(2'(0'(2'(1'(0'(0'(0'(2'(2'(1'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(x1))))))))))))) -> 2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(x1))))))))))))) -> 0'(2'(2'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0'(0'(2'(1'(2'(1'(0'(0'(2'(0'(1'(0'(2'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(x1))))))))))))) -> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(2'(2'(2'(2'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(x1))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(x1))))))))))))) -> 1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(1'(2'(1'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(1'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(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:

   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x1))))))))))))) -> 0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 0'(0'(1'(2'(0'(0'(0'(2'(1'(2'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(x1))))))))))))) -> 1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(0'(2'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(1'(0'(0'(x1))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))) -> 1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1))))))))))))) -> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(x1))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(x1))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(x1))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))) -> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(2'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(x1))))))))))))) -> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(x1))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(x1))))))))))))) -> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0'(1'(0'(2'(2'(0'(0'(2'(2'(0'(0'(0'(0'(1'(0'(1'(0'(x1))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))) -> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(x1))))))))))))) -> 1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 0'(0'(2'(0'(2'(2'(0'(2'(0'(0'(0'(2'(0'(1'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(2'(2'(0'(2'(0'(1'(0'(2'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(x1))))))))))))) -> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0'(2'(2'(1'(2'(0'(0'(1'(0'(0'(2'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(0'(2'(2'(0'(0'(0'(0'(1'(2'(2'(0'(1'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(x1))))))))))))) -> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(0'(0'(1'(1'(0'(2'(2'(0'(1'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(x1))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))) -> 0'(0'(2'(0'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(2'(2'(0'(x1))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))) -> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x1))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0'(1'(1'(2'(0'(2'(1'(0'(0'(0'(2'(2'(1'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(x1))))))))))))) -> 2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(x1))))))))))))) -> 0'(2'(2'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0'(0'(2'(1'(2'(1'(0'(0'(2'(0'(1'(0'(2'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(x1))))))))))))) -> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(2'(2'(2'(2'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(x1))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(x1))))))))))))) -> 1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(1'(2'(1'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(1'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]

The TRS has the following type information:
0' :: c_1:c_0:c_2 -> c_1:c_0:c_2
c_1 :: c_1:c_0:c_2 -> c_1:c_0:c_2
c_0 :: c_1:c_0:c_2 -> c_1:c_0:c_2
c_2 :: c_1:c_0:c_2 -> c_1:c_0:c_2
1' :: c_1:c_0:c_2 -> c_1:c_0:c_2
2' :: c_1:c_0:c_2 -> c_1:c_0:c_2
encArg :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2
encode_1 :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2
encode_2 :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2

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_0_1
   encode_1_1
   encode_2_1
   0'_1
   1'_1
   2'_1

Due to the following rules being added:

   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]

And the following fresh constants:    const, const1

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

(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:

   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x1))))))))))))) -> 0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 0'(0'(1'(2'(0'(0'(0'(2'(1'(2'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(x1))))))))))))) -> 1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(0'(2'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(1'(0'(0'(x1))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))) -> 1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1))))))))))))) -> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(x1))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(x1))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(x1))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))) -> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(2'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(x1))))))))))))) -> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(x1))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(x1))))))))))))) -> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0'(1'(0'(2'(2'(0'(0'(2'(2'(0'(0'(0'(0'(1'(0'(1'(0'(x1))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))) -> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(x1))))))))))))) -> 1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 0'(0'(2'(0'(2'(2'(0'(2'(0'(0'(0'(2'(0'(1'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(2'(2'(0'(2'(0'(1'(0'(2'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(x1))))))))))))) -> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0'(2'(2'(1'(2'(0'(0'(1'(0'(0'(2'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(0'(2'(2'(0'(0'(0'(0'(1'(2'(2'(0'(1'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(x1))))))))))))) -> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(0'(0'(1'(1'(0'(2'(2'(0'(1'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(x1))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))) -> 0'(0'(2'(0'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(2'(2'(0'(x1))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))) -> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x1))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0'(1'(1'(2'(0'(2'(1'(0'(0'(0'(2'(2'(1'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(x1))))))))))))) -> 2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(x1))))))))))))) -> 0'(2'(2'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0'(0'(2'(1'(2'(1'(0'(0'(2'(0'(1'(0'(2'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(x1))))))))))))) -> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(2'(2'(2'(2'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(x1))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(x1))))))))))))) -> 1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(1'(2'(1'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(1'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]

The TRS has the following type information:
0' :: c_1:c_0:c_2:const -> c_1:c_0:c_2:const
c_1 :: c_1:c_0:c_2:const -> c_1:c_0:c_2:const
c_0 :: c_1:c_0:c_2:const -> c_1:c_0:c_2:const
c_2 :: c_1:c_0:c_2:const -> c_1:c_0:c_2:const
1' :: c_1:c_0:c_2:const -> c_1:c_0:c_2:const
2' :: c_1:c_0:c_2:const -> c_1:c_0:c_2:const
encArg :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2:const
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2:const
encode_1 :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2:const
encode_2 :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2:const
const :: c_1:c_0:c_2:const
const1 :: cons_0:cons_1:cons_2

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:

   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(x1'))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1'))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(x1''))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1''))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(x11))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x11))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(x12))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x12))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(x13))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x13))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(x14))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x14))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(c_1(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(const)))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x1))))))))))))) -> 0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1119))))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x1119))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(x1120))))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x1120))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(x1121))))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x1121))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(x1122))))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(x1122))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(x1123))))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x1123))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x1124))))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x1124))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(x1125))))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x1125))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(x1126))))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x1126))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(x1127))))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x1127))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(x1128))))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x1128))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(x1129))))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x1129))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(c_2(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(const)))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 0'(0'(1'(2'(0'(0'(0'(2'(1'(2'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(x1))))))))))))) -> 1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(0'(2'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(1'(0'(0'(x1))))))))))))))))) [1]
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   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x11325))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x11325))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(x11326))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x11326))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(x11327))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x11327))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(x11328))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x11328))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(x11329))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x11329))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(x11330))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x11330))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(x1))))))))))))) -> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(c_2(x1))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(x1))))))))))))) -> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(const)))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(2'(2'(2'(2'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x11369))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x11369))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(x11370))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x11370))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(x11371))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x11371))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(x11372))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(x11372))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(x11373))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x11373))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x11374))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x11374))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(x11375))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x11375))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(x11376))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x11376))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(x11377))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x11377))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(x11378))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x11378))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(x11379))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x11379))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(x1))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(c_2(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(x1))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(const)))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(x1))))))))))))) -> 1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(1'(2'(1'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(x11456))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x11456))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(x11457))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x11457))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(x11458))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x11458))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(x11459))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x11459))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(x11460))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x11460))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(x11461))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x11461))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(c_1(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(const)))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(1'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_12))) -> 1'(0'(encArg(x_12))) [0]
   encArg(cons_1(cons_1(x_13))) -> 1'(1'(encArg(x_13))) [0]
   encArg(cons_1(cons_2(x_14))) -> 1'(2'(encArg(x_14))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_15))) -> 2'(0'(encArg(x_15))) [0]
   encArg(cons_2(cons_1(x_16))) -> 2'(1'(encArg(x_16))) [0]
   encArg(cons_2(cons_2(x_17))) -> 2'(2'(encArg(x_17))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encode_0(cons_0(x_18)) -> 0'(0'(encArg(x_18))) [0]
   encode_0(cons_1(x_19)) -> 0'(1'(encArg(x_19))) [0]
   encode_0(cons_2(x_110)) -> 0'(2'(encArg(x_110))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_1(cons_0(x_111)) -> 1'(0'(encArg(x_111))) [0]
   encode_1(cons_1(x_112)) -> 1'(1'(encArg(x_112))) [0]
   encode_1(cons_2(x_113)) -> 1'(2'(encArg(x_113))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_2(cons_0(x_114)) -> 2'(0'(encArg(x_114))) [0]
   encode_2(cons_1(x_115)) -> 2'(1'(encArg(x_115))) [0]
   encode_2(cons_2(x_116)) -> 2'(2'(encArg(x_116))) [0]
   encode_2(x_1) -> 2'(const) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]

The TRS has the following type information:
0' :: c_1:c_0:c_2:const -> c_1:c_0:c_2:const
c_1 :: c_1:c_0:c_2:const -> c_1:c_0:c_2:const
c_0 :: c_1:c_0:c_2:const -> c_1:c_0:c_2:const
c_2 :: c_1:c_0:c_2:const -> c_1:c_0:c_2:const
1' :: c_1:c_0:c_2:const -> c_1:c_0:c_2:const
2' :: c_1:c_0:c_2:const -> c_1:c_0:c_2:const
encArg :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2:const
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2:const
encode_1 :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2:const
encode_2 :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2:const
const :: c_1:c_0:c_2:const
const1 :: cons_0:cons_1:cons_2

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
   const1 => 0

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

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

   0'(z) -{ 1 }-> 0'(2'(2'(1'(2'(0'(0'(1'(0'(0'(2'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(2'(2'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(0'(0'(1'(2'(1'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(2'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x11280))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11280))))))))))))))))))))))), x11280 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x11279))))))))))))))))))))))))))))))))) :|: x11279 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11279)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x11277))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11277))))))))))))))))))))))), x11277 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x11276))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11276))))))))))))))))))))))), x11276 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x11278))))))))))))))))))))))))))))))))) :|: x11278 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11278)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x11281))))))))))))))))))))))))))))))))) :|: x11281 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11281)))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1877))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1877))))))))))))))))))))))), x1877 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1876))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1876))))))))))))))))))))))), x1876 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1874))))))))))))))))))))))))))))))))) :|: x1874 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1874)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1873))))))))))))))))))))))))))))))))) :|: x1873 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1873)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1875))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1875))))))))))))))))))))))), x1875 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1878))))))))))))))))))))))))))))))))) :|: x1878 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1878)))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(2'(0'(2'(1'(0'(0'(0'(2'(2'(1'(0'(2'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(1'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1581))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1581))))))))))))))))))))))), x1581 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1580))))))))))))))))))))))))))))))))) :|: x1580 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1580)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1578))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1578))))))))))))))))))))))), x1578 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1577))))))))))))))))))))))))))))))))) :|: x1577 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1577)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1579))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1579))))))))))))))))))))))), x1579 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1582))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1582))))))))))))))))))))))), x1582 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(2'(2'(0'(0'(2'(2'(0'(0'(0'(0'(1'(0'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x1127))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1127))))))))))))))))))))))), x1127 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x1129))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1129))))))))))))))))))))))), x1129 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x1121))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1121))))))))))))))))))))))), x1121 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x1125))))))))))))))))))))))))))))))))) :|: x1125 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1125)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x1120))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1120))))))))))))))))))))))), x1120 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x1119))))))))))))))))))))))))))))))))) :|: x1119 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1119)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x1123))))))))))))))))))))))))))))))))) :|: x1123 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1123)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x1124))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1124))))))))))))))))))))))), x1124 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x1126))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1126))))))))))))))))))))))), x1126 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(x1122))))))))))))))))))))))))))))))))) :|: x1122 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1122)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x1128))))))))))))))))))))))))))))))))) :|: x1128 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1128)))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x1536))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1536))))))))))))))))))))))), x1536 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x1538))))))))))))))))))))))))))))))))) :|: x1538 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1538)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x1530))))))))))))))))))))))))))))))))) :|: x1530 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1530)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x1534))))))))))))))))))))))))))))))))) :|: x1534 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1534)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x1529))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1529))))))))))))))))))))))), x1529 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x1528))))))))))))))))))))))))))))))))) :|: x1528 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1528)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x1532))))))))))))))))))))))))))))))))) :|: x1532 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1532)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x1533))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1533))))))))))))))))))))))), x1533 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x1535))))))))))))))))))))))))))))))))) :|: x1535 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1535)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(x1531))))))))))))))))))))))))))))))))) :|: x1531 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1531)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x1537))))))))))))))))))))))))))))))))) :|: x1537 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1537)))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(2'(0'(2'(0'(1'(0'(2'(0'(0'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(2'(1'(0'(0'(2'(0'(1'(0'(2'(2'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1406))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1406))))))))))))))))))))))), x1406 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1405))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1405))))))))))))))))))))))), x1405 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1403))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1403))))))))))))))))))))))), x1403 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1402))))))))))))))))))))))))))))))))) :|: x1402 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1402)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1404))))))))))))))))))))))))))))))))) :|: x1404 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1404)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1407))))))))))))))))))))))))))))))))) :|: x1407 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1407)))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(2'(2'(0'(2'(0'(0'(0'(2'(0'(1'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(2'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(2'(0'(0'(0'(2'(1'(2'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1959))))))))))))))))))))))))))))))))) :|: x1959 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1959)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1958))))))))))))))))))))))))))))))))) :|: x1958 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1958)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1956))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1956))))))))))))))))))))))), x1956 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1955))))))))))))))))))))))))))))))))) :|: x1955 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1955)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1957))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1957))))))))))))))))))))))), x1957 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1960))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1960))))))))))))))))))))))), x1960 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1412))))))))))))))))))))))))))))))))) :|: x1412 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1412)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1411))))))))))))))))))))))))))))))))) :|: x1411 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1411)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1409))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1409))))))))))))))))))))))), x1409 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1408))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1408))))))))))))))))))))))), x1408 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1410))))))))))))))))))))))))))))))))) :|: x1410 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1410)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1413))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1413))))))))))))))))))))))), x1413 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(2'(2'(0'(0'(0'(0'(1'(2'(2'(0'(1'(1'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(2'(2'(0'(1'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1871))))))))))))))))))))))))))))))))) :|: x1871 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1871)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1870))))))))))))))))))))))))))))))))) :|: x1870 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1870)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1868))))))))))))))))))))))))))))))))) :|: x1868 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1868)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1867))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1867))))))))))))))))))))))), x1867 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1869))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1869))))))))))))))))))))))), x1869 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1872))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1872))))))))))))))))))))))), x1872 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x11377))))))))))))))))))))))))))))))))) :|: x11377 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11377)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x11379))))))))))))))))))))))))))))))))) :|: x11379 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11379)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x11371))))))))))))))))))))))))))))))))) :|: x11371 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11371)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x11375))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11375))))))))))))))))))))))), x11375 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x11370))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11370))))))))))))))))))))))), x11370 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x11369))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11369))))))))))))))))))))))), x11369 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x11373))))))))))))))))))))))))))))))))) :|: x11373 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11373)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x11374))))))))))))))))))))))))))))))))) :|: x11374 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11374)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x11376))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11376))))))))))))))))))))))), x11376 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(x11372))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11372))))))))))))))))))))))), x11372 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x11378))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11378))))))))))))))))))))))), x11378 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1400))))))))))))))))))))))))))))))))) :|: x1400 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1400)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1399))))))))))))))))))))))))))))))))) :|: x1399 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1399)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1397))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1397))))))))))))))))))))))), x1397 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1396))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1396))))))))))))))))))))))), x1396 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1398))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1398))))))))))))))))))))))), x1398 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1401))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1401))))))))))))))))))))))), x1401 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x11460))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11460))))))))))))))))))))))), x11460 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x11459))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11459))))))))))))))))))))))), x11459 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x11457))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11457))))))))))))))))))))))), x11457 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x11456))))))))))))))))))))))))))))))))) :|: x11456 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11456)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x11458))))))))))))))))))))))))))))))))) :|: x11458 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11458)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x11461))))))))))))))))))))))))))))))))) :|: x11461 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11461)))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x13))))))))))))))))))))))))))))))))) :|: x13 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x12))))))))))))))))))))))))))))))))) :|: x12 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1''))))))))))))))))))))))))))))))))) :|: x1'' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1'')))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1'))))))))))))))))))))))))))))))))) :|: x1' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1')))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x11))))))))))))))))))))))))))))))))) :|: x11 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11)))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x14))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x14))))))))))))))))))))))), x14 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(2'(2'(2'(2'(1'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x11121))))))))))))))))))))))))))))))))) :|: x11121 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11121)))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x11123))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11123))))))))))))))))))))))), x11123 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x11115))))))))))))))))))))))))))))))))) :|: x11115 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11115)))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x11119))))))))))))))))))))))))))))))))) :|: x11119 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11119)))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x11114))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11114))))))))))))))))))))))), x11114 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x11113))))))))))))))))))))))))))))))))) :|: x11113 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11113)))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x11117))))))))))))))))))))))))))))))))) :|: x11117 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11117)))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x11118))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11118))))))))))))))))))))))), x11118 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x11120))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11120))))))))))))))))))))))), x11120 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(x11116))))))))))))))))))))))))))))))))) :|: x11116 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11116)))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x11122))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11122))))))))))))))))))))))), x11122 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x11328))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11328))))))))))))))))))))))), x11328 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x11330))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11330))))))))))))))))))))))), x11330 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x11322))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11322))))))))))))))))))))))), x11322 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x11326))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11326))))))))))))))))))))))), x11326 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x11321))))))))))))))))))))))))))))))))) :|: x11321 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11321)))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x11320))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11320))))))))))))))))))))))), x11320 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x11324))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11324))))))))))))))))))))))), x11324 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x11325))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11325))))))))))))))))))))))), x11325 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x11327))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11327))))))))))))))))))))))), x11327 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(x11323))))))))))))))))))))))))))))))))) :|: x11323 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11323)))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x11329))))))))))))))))))))))))))))))))) :|: x11329 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11329)))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1707))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1707))))))))))))))))))))))), x1707 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1706))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1706))))))))))))))))))))))), x1706 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1704))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1704))))))))))))))))))))))), x1704 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1703))))))))))))))))))))))))))))))))) :|: x1703 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1703)))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1705))))))))))))))))))))))))))))))))) :|: x1705 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1705)))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1708))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1708))))))))))))))))))))))), x1708 >= 0
   2'(z) -{ 1 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1865))))))))))))))))))))))))))))))))) :|: x1865 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1865)))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1864))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1864))))))))))))))))))))))), x1864 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1862))))))))))))))))))))))))))))))))) :|: x1862 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1862)))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1861))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1861))))))))))))))))))))))), x1861 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1863))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1863))))))))))))))))))))))), x1863 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1866))))))))))))))))))))))))))))))))) :|: x1866 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1866)))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1587))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1587))))))))))))))))))))))), x1587 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1586))))))))))))))))))))))))))))))))) :|: x1586 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1586)))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1584))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1584))))))))))))))))))))))), x1584 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1583))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1583))))))))))))))))))))))), x1583 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1585))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1585))))))))))))))))))))))), x1585 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1588))))))))))))))))))))))))))))))))) :|: x1588 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1588)))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(x_110))) :|: z = 1 + x_110, x_110 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_19))) :|: z = 1 + x_19, x_19 >= 0
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_18))) :|: z = 1 + x_18, x_18 >= 0
   encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_113))) :|: z = 1 + x_113, x_113 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_112))) :|: z = 1 + x_112, x_112 >= 0
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_111))) :|: z = 1 + x_111, x_111 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(2'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_114))) :|: x_114 >= 0, z = 1 + x_114
   encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

(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:

   0'(z) -{ 1 }-> 0'(2'(2'(1'(2'(0'(0'(1'(0'(0'(2'(0'(0'(0'(0'(0'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(0'(2'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(0'(0'(1'(2'(1'(0'(0'(0'(2'(0'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(2'(0'(0'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(2'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0)))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1 + (z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(0)))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1 + (z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(2'(0'(2'(1'(0'(0'(0'(2'(2'(1'(0'(2'(0'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(1'(0'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(0)))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1 + (z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(2'(2'(0'(0'(2'(2'(0'(0'(0'(0'(1'(0'(1'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0)))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1 + (z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(0)))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(1 + (z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(2'(0'(2'(0'(1'(0'(2'(0'(0'(0'(0'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(1'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(1'(2'(1'(0'(0'(2'(0'(1'(0'(2'(2'(0'(0'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(0)))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1 + (z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(0'(2'(2'(0'(2'(0'(0'(0'(2'(0'(1'(0'(0'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(0'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(2'(2'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(2'(0'(0'(0'(2'(1'(2'(0'(0'(1'(2'(0'(0'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(0)))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1 + (z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(0'(2'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
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   2'(z) -{ 1 }-> 0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   2'(z) -{ 1 }-> 0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 1 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0)))))))))))))))) :|: z - 12 >= 0
   2'(z) -{ 1 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1 + (z - 12))))))))))))))))) :|: z - 12 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 1 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(0)))))))))))))))) :|: z - 12 >= 0
   2'(z) -{ 1 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1 + (z - 12))))))))))))))))) :|: z - 12 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(z - 24))))))))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(0)))))))))))))))) :|: z - 12 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1 + (z - 12))))))))))))))))) :|: z - 12 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(z - 12))))))))))))))))) :|: z - 12 >= 0
   2'(z) -{ 0 }-> 0 :|: z >= 0
   2'(z) -{ 0 }-> 1 + z :|: z >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 1'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(0) :|: z >= 0
   encode_0(z) -{ 0 }-> 0 :|: z >= 0
   encode_1(z) -{ 0 }-> 1'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: z >= 0
   encode_1(z) -{ 0 }-> 0 :|: z >= 0
   encode_2(z) -{ 0 }-> 2'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(0) :|: z >= 0
   encode_2(z) -{ 0 }-> 0 :|: z >= 0


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

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

   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]

And the following fresh constants:    null_encArg, null_encode_0, null_encode_1, null_encode_2, null_0', null_1', null_2', const

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

(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:

   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x1))))))))))))) -> 0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))) -> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 0'(0'(1'(2'(0'(0'(0'(2'(1'(2'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(x1))))))))))))) -> 1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(0'(2'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(1'(0'(0'(x1))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))) -> 1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1))))))))))))) -> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(x1))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(x1))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(x1))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))) -> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(2'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(x1))))))))))))) -> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(x1))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(x1))))))))))))) -> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))) -> 0'(1'(0'(2'(2'(0'(0'(2'(2'(0'(0'(0'(0'(1'(0'(1'(0'(x1))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(x1))))))))))))) -> 0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))) -> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(x1))))))))))))) -> 1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(x1))))))))))))) -> 0'(0'(2'(0'(2'(2'(0'(2'(0'(0'(0'(2'(0'(1'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(x1))))))))))))) -> 2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(2'(2'(0'(2'(0'(1'(0'(2'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(x1))))))))))))) -> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(x1))))))))))))) -> 0'(2'(2'(1'(2'(0'(0'(1'(0'(0'(2'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(0'(2'(2'(0'(0'(0'(0'(1'(2'(2'(0'(1'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(x1))))))))))))) -> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(0'(0'(1'(1'(0'(2'(2'(0'(1'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(x1))))))))))))) -> 0'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(x1))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(x1))))))))))))) -> 1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))) -> 0'(0'(2'(0'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(2'(2'(0'(x1))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))) -> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x1))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0'(1'(1'(2'(0'(2'(1'(0'(0'(0'(2'(2'(1'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(x1))))))))))))) -> 2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(x1))))))))))))) -> 0'(2'(2'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(x1))))))))))))) -> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(x1))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(x1))))))))))))) -> 0'(0'(2'(1'(2'(1'(0'(0'(2'(0'(1'(0'(2'(2'(0'(0'(0'(x1))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(x1))))))))))))) -> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(x1))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(2'(2'(2'(2'(1'(1'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(x1))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(x1))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(x1))))))))))))) -> 1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(x1))))))))))))) -> 0'(2'(1'(0'(1'(0'(0'(0'(1'(2'(1'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(x1))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(x1))))))))))))) -> 0'(0'(1'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(x1))))))))))))) -> 0'(0'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]

The TRS has the following type information:
0' :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_1 :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_0 :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_2 :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
1' :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
2' :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
encArg :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
encode_1 :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
encode_2 :: cons_0:cons_1:cons_2 -> c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encArg :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_0 :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_1 :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_2 :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_0' :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_1' :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_2' :: c_1:c_0:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
const :: cons_0:cons_1:cons_2

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

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

   null_encArg => 0
   null_encode_0 => 0
   null_encode_1 => 0
   null_encode_2 => 0
   null_0' => 0
   null_1' => 0
   null_2' => 0
   const => 0

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

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

   0'(z) -{ 1 }-> 0'(2'(2'(1'(2'(0'(0'(1'(0'(0'(2'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(2'(2'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(0'(0'(1'(2'(1'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(2'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(2'(2'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(2'(0'(2'(1'(0'(0'(0'(2'(2'(1'(0'(2'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(1'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(1'(0'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(2'(2'(0'(0'(2'(2'(0'(0'(0'(0'(1'(0'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(2'(0'(2'(0'(1'(0'(2'(0'(0'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(1'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(2'(1'(0'(0'(2'(0'(1'(0'(2'(2'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(2'(1'(0'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(2'(2'(0'(2'(0'(0'(0'(2'(0'(1'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(2'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(2'(0'(0'(0'(2'(1'(2'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(2'(2'(0'(0'(0'(0'(1'(2'(2'(0'(1'(1'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(2'(2'(0'(1'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(1'(0'(2'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(2'(2'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(1'(0'(2'(0'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(2'(2'(2'(2'(1'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(1'(1'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(2'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(2'(1'(0'(1'(2'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(0'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(2'(2'(1'(1'(0'(0'(1'(0'(2'(1'(1'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 0'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(2'(1'(1'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(1'(0'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(1'(0'(0'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 2'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0

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(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c6
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(z0) -> c45
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(z0) -> c52
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
S tuples:
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 1_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, 0'_1, 1'_1, 2'_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6, c7_17, c8_17, c9_17, c10_17, c11_17, c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c45, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c52, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing nodes:
   0'(z0) -> c6
   1'(z0) -> c45
   2'(z0) -> c52

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
S tuples:
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 1_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, 0'_1, 1'_1, 2'_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c7_17, c8_17, c9_17, c10_17, c11_17, c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17


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

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_0(z0) -> c6(ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_1(z0) -> c6(ENCARG(z0))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCODE_2(z0) -> c6(ENCARG(z0))
S tuples:
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 1_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c_2, c1_2, c2_2, c7_17, c8_17, c9_17, c10_17, c11_17, c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17, c6_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 3 leading nodes:
   ENCODE_0(z0) -> c6(ENCARG(z0))
   ENCODE_1(z0) -> c6(ENCARG(z0))
   ENCODE_2(z0) -> c6(ENCARG(z0))

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
S tuples:
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 1_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c_2, c1_2, c2_2, c7_17, c8_17, c9_17, c10_17, c11_17, c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17, c6_1


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

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

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
S tuples:
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c_2, c1_2, c2_2, c7_17, c8_17, c9_17, c10_17, c11_17, c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17, c6_1


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

(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
S tuples:
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c1_2, c2_2, c7_17, c8_17, c9_17, c10_17, c11_17, c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17, c6_1, c_2


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
S tuples:
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c2_2, c7_17, c8_17, c9_17, c10_17, c11_17, c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17, c6_1, c_2, c1_2


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

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
S tuples:
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1

Compound Symbols:   c7_17, c8_17, c9_17, c10_17, c11_17, c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17, c6_1, c_2, c1_2, c2_2


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

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) by 
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(c_0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(c_0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(c_0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(c_0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(c_0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(c_0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(c_1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(c_2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(c_0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(c_2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(c_1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(c_0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(c_0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(c_0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(c_2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(c_1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))), 0'(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))), 2'(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))), 1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))), 0'(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))), 2'(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))), 1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(c_0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(c_0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(c_0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(c_0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(c_0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(c_0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(c_1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(c_2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(c_0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(c_2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(c_1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(c_0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(c_0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(c_0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(c_2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(c_1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))), 0'(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))), 2'(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))), 1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))), 0'(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))), 2'(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))), 1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))
S tuples:
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(c_0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(c_0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(c_1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(c_2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(c_0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(c_2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(c_1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(c_0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(c_0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(c_0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(c_1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))), 0'(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))), 0'(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))), 2'(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))), 1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))), 1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))), 0'(0(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(2(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))), 2'(1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))), 1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))), 0'(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))), 2'(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))), 1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1

Compound Symbols:   c8_17, c9_17, c10_17, c11_17, c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17, c6_1, c_2, c1_2, c2_2, c7_17


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

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) by 
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(c_2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(c_1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(c_0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(c_1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(c_0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(c_0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(c_0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(c_0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(c_1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(c_0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(c_1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(c_1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(c_2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(c_0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(c_0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(c_0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))), 0'(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))), 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))), 0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))), 0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))), 0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))), 0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))), 0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))), 0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))), 2'(0(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))), 0'(0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))), 0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))), 0'(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))), 0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(c_0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(c_0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(c_0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(c_0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(c_0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(c_0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(c_1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(c_2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(c_0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(c_2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(c_1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(c_0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(c_0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(c_0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(c_2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(c_1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))), 0'(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))), 0'(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))), 2'(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))), 1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))), 1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))), 0'(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))), 2'(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))), 1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(c_2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(c_0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(c_0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(c_0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(c_1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(c_0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(c_1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(c_1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(c_2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(c_0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(c_0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 2'(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))), 0'(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))), 0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))), 0'(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))), 0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))), 0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))), 0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))), 0'(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))), 0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))
S tuples:
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(c_0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(c_0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(c_1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(c_2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(c_0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(c_2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(c_1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(c_0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(c_0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(c_0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))), 1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(c_2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(c_1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(c_0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(c_1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(c_0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(c_0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(c_0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(c_0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(c_1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(c_0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(c_1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(c_1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(c_2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(c_0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(c_0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(c_0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))), 0'(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))), 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))), 0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))), 0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))), 0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))), 0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))), 0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))), 0'(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))), 0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1

Compound Symbols:   c9_17, c10_17, c11_17, c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17, c6_1, c_2, c1_2, c2_2, c7_17, c8_17


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) by 
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(c_0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(c_0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(c_0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(c_0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(c_1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(c_1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(c_1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(c_2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(c_1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(c_1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(c_0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(c_0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(c_0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(c_0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(c_0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(c_0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 0'(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 0'(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 0'(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))), 0'(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))), 0'(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))), 0'(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))), 0'(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 0'(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 0'(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))), 0'(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(c_0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(c_0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(c_0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(c_0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(c_0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(c_0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(c_1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(c_2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(c_0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(c_2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(c_1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(c_0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(c_0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(c_0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(c_2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(c_1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(c_2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(c_1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(c_0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(c_1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(c_0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(c_0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(c_0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(c_0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(c_1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(c_0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(c_1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(c_1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(c_2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(c_0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(c_0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(c_0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))), 0'(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))), 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))), 0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))), 0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))), 0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))), 0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))), 0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(c_0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(c_0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(c_0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(c_1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(c_1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(c_1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(c_2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(c_1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(c_0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(c_0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(c_0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(c_0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(c_0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(c_0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))), 0'(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))), 0'(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))), 0'(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))), 0'(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))), 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 0'(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))), 0'(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))), 0'(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))), 0'(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))), 0'(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))), 0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))), 0'(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))), 0'(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))), 0'(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))), 0'(0(0(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))), 0'(0(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))), 0'(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))), 0'(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))), 0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 0'(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 0'(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))), 0'(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))), 0'(0(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))), 0'(0(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))), 0'(0(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 0'(0(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 0'(0(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))), 0'(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))
S tuples:
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(c_0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(c_0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(c_0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(c_0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(c_0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(c_0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(c_1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(c_2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(c_0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(c_2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(c_1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(c_0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(c_0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(c_0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(c_2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(c_1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))), 0'(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))), 0'(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))), 2'(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))), 1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))), 1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))), 0'(2(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))), 2'(1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))), 1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(c_2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(c_0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(c_0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(c_0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(c_1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(c_0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(c_1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(c_1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(c_2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(c_0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(c_0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 2'(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))), 0'(0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))), 0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))), 0'(0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))), 0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))), 0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0)))))))))))))), 0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))), 0'(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))), 0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(c_0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(c_0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(c_0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(c_0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(c_1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(c_1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(c_1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(c_2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(c_1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(c_1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(c_0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(c_0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(c_0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(c_0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(c_0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(c_0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 0'(0(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 0'(0(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))), 0'(0(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1

Compound Symbols:   c10_17, c11_17, c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17, c6_1, c_2, c1_2, c2_2, c7_17, c8_17, c9_17


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

(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) by 
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(c_0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(c_0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(c_0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(c_0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(c_0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(c_2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(c_0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(c_1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(c_0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(c_1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(c_1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(c_0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(c_0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(c_0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(c_2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(c_0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 1'(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 2'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 0'(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))), 0'(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))), 2'(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))), 0'(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))), 0'(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))), 2'(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 0'(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))), 0'(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))), 2'(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(c_0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(c_0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(c_0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(c_0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(c_0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(c_0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(c_1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(c_2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(c_0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(c_2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(c_1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(c_0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(c_0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(c_0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(c_2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(c_1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))), 0'(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))), 0'(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))), 2'(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))), 1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(c_2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(c_1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(c_0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(c_1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(c_0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(c_0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(c_0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(c_0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(c_1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(c_0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(c_1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(c_1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(c_2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(c_0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(c_0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(c_0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))), 0'(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))), 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))), 0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 2'(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))), 0'(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))), 0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))), 0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))), 2'(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))), 0'(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))), 0'(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))), 0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(c_0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 0'(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(c_0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(c_0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(c_0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(c_0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(c_0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(c_0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(c_1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(c_0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(c_1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(c_1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(c_0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(c_0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(c_0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(c_2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(c_0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))), 1'(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))), 0'(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))), 0'(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))), 0'(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))), 2'(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))), 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))), 1'(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))), 0'(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))), 0'(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))), 0'(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))), 2'(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))), 0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 0'(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))), 0'(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))), 2'(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))), 0'(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))), 0'(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))), 2'(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(0(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 0'(0(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))), 0'(0(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(2(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))), 2'(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))
S tuples:
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(c_0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(c_0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(c_0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(c_0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(c_0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(c_0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(c_1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(c_2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(c_0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(c_2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(c_1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(c_0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(c_0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(c_0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(c_2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(c_1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))), 0'(0(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))), 0'(2(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))), 2'(1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))), 1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(c_2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(c_1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(c_0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(c_1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(c_0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(c_0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(c_0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(c_0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(c_1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(c_0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(c_1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(c_1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(c_2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(c_0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(c_0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(c_0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))), 0'(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))), 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))), 0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 2'(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))), 0'(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))), 0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))), 0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))), 2'(0(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))))), 0'(0(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))), 0'(0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0)))))))))))))), 0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))), 0'(0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(c_0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 0'(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(c_0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(c_0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(c_0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(c_0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(c_0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(c_0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(c_1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(c_0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(c_1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(c_1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(c_0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(c_0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(c_0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(c_2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(c_0(z0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(z0))))))))))), 0'(1(0(1(1(0(0(0(2(0(z0)))))))))), 1'(0(1(1(0(0(0(2(0(z0))))))))), 0'(1(1(0(0(0(2(0(z0)))))))), 1'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))), 1'(0(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))), 0'(0(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))), 0'(0(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))), 0'(2(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))), 2'(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))), 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))), 1'(0(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))), 0'(0(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))), 0'(0(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))), 0'(2(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))), 2'(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))), 0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))), 1'(0(0(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))), 0'(0(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))), 0'(0(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))), 0'(2(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))), 2'(0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))), 0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 1'(0(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))), 0'(0(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))), 0'(0(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))), 0'(2(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))), 2'(0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))), 1'(0(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))))), 0'(0(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))), 0'(0(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))))), 0'(2(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))), 2'(0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1

Compound Symbols:   c11_17, c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17, c6_1, c_2, c1_2, c2_2, c7_17, c8_17, c9_17, c10_17


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

(61) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) by 
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(c_1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(c_0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(c_2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(c_0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(c_2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(c_0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(c_0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(c_0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(c_0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(c_1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(c_0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(c_0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(c_1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(c_0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(c_1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(c_2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))), 0'(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))), 0'(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))), 1'(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))), 0'(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))), 1'(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))), 2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))), 0'(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))), 0'(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))), 1'(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))), 0'(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))), 1'(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))), 2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))), 0'(0(1(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))), 0'(1(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))), 1'(0(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))), 0'(1(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))), 1'(2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))), 2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))))), 0'(0(1(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))), 0'(1(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))))), 1'(0(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))), 0'(1(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))), 1'(2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))), 2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))), 0'(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))), 0'(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))), 1'(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))), 0'(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))), 1'(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))), 2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))), 0'(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))), 0'(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))), 1'(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))), 0'(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))), 1'(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))), 2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))), 0'(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))), 0'(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))), 1'(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))), 0'(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))), 1'(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))), 2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))), 0'(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))), 0'(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))), 1'(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))), 0'(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))), 1'(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))), 2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))

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

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))))
   0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> 0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> 0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 0(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> 0(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> 0(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> 0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> 0(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 0(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> 0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> 0(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> 0(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> 0(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> 0(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> 0(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> 0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> 0(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> 0(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> 0(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> 0(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))))
   0(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> 0(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> 0(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> 1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> 1(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> 1(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> 2(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> 1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> 0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> 1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> 2(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> 0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> 0(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> 0(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> 2(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))))
   2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> 2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> 2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))))
Tuples:
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(c_0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(c_0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(c_0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(c_0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(c_0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(c_0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(c_1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(c_2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(c_0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(c_2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(c_1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(c_0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(c_0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(c_0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(c_2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(c_1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(c_2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(c_1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(c_0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(c_1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(c_0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(c_0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(c_0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(c_0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(c_1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(c_0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(c_1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(c_1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(c_2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(c_0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(c_0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(c_0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))), 0'(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))), 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))), 0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))), 0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))), 0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))), 0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))), 0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(c_0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(c_0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(c_0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(c_1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(c_1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(c_1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(c_2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(c_1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(c_0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(c_0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(c_0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(c_0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(c_0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(c_0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))), 0'(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))), 0'(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))), 0'(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))), 0'(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))), 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 0'(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))), 0'(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))), 0'(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))), 0'(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))), 0'(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))), 0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))), 0'(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))), 0'(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))), 0'(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(c_0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 1'(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 2'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(c_1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(c_0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(c_2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(c_0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(c_2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(c_0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(c_0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(c_0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(c_0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(c_1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(c_0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(c_0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(c_1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(c_0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(c_1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(c_2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))), 0'(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))), 0'(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))), 1'(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))), 0'(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))), 1'(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))), 2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))), 0'(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))), 0'(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))), 1'(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))), 0'(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))), 1'(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))), 2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))), 0'(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))))), 0'(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))), 1'(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))), 0'(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))), 1'(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))), 2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))
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   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))), 0'(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))), 0'(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))), 1'(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))), 0'(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))), 1'(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))), 2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))), 0'(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))), 0'(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))), 1'(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))), 0'(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))), 1'(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))), 2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))), 0'(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))), 0'(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))), 1'(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))), 0'(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))), 1'(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))), 2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))), 0'(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))), 0'(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))), 1'(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))), 0'(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))), 1'(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))), 2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))
S tuples:
   0'(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(z0))))))))))))) -> c12(0'(2(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))))), 1'(0(0(0(0(0(1(0(1(0(1(2(0(z0))))))))))))), 0'(0(0(0(0(1(0(1(0(1(2(0(z0)))))))))))), 0'(0(0(0(1(0(1(0(1(2(0(z0))))))))))), 0'(0(0(1(0(1(0(1(2(0(z0)))))))))), 0'(0(1(0(1(0(1(2(0(z0))))))))), 0'(1(0(1(0(1(2(0(z0)))))))), 1'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c13(0'(0(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))))), 0'(1(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(2(0(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))))), 2'(0(0(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(2(1(2(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(2(1(2(0(0(1(2(0(0(0(z0)))))))))))), 0'(2(1(2(0(0(1(2(0(0(0(z0))))))))))), 2'(1(2(0(0(1(2(0(0(0(z0)))))))))), 1'(2(0(0(1(2(0(0(0(z0))))))))), 2'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c14(0'(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))), 0'(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))))), 2'(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))), 1'(0(1(0(0(0(1(0(0(0(1(0(z0)))))))))))), 0'(1(0(0(0(1(0(0(0(1(0(z0))))))))))), 1'(0(0(0(1(0(0(0(1(0(z0)))))))))), 0'(0(0(1(0(0(0(1(0(z0))))))))), 0'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))) -> c15(0'(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))), 1'(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))), 0'(0(0(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))), 0'(1(2(0(0(0(2(0(1(0(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(z0))))))))))), 2'(0(0(0(2(0(1(0(2(0(z0)))))))))), 0'(0(0(2(0(1(0(2(0(z0))))))))), 0'(0(2(0(1(0(2(0(z0)))))))), 0'(2(0(1(0(2(0(z0))))))), 2'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c16(0'(1(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))))), 1'(1(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))))), 1'(1(0(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))))), 1'(0(0(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))))), 0'(0(0(2(2(0(0(0(1(0(1(0(0(z0))))))))))))), 0'(0(2(2(0(0(0(1(0(1(0(0(z0)))))))))))), 0'(2(2(0(0(0(1(0(1(0(0(z0))))))))))), 2'(2(0(0(0(1(0(1(0(0(z0)))))))))), 2'(0(0(0(1(0(1(0(0(z0))))))))), 0'(0(0(1(0(1(0(0(z0)))))))), 0'(0(1(0(1(0(0(z0))))))), 0'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0))))))))))))) -> c17(0'(0(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))))), 0'(0(1(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))))), 0'(1(0(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))))), 1'(0(2(0(2(1(0(0(0(0(2(2(1(z0))))))))))))), 0'(2(0(2(1(0(0(0(0(2(2(1(z0)))))))))))), 2'(0(2(1(0(0(0(0(2(2(1(z0))))))))))), 0'(2(1(0(0(0(0(2(2(1(z0)))))))))), 2'(1(0(0(0(0(2(2(1(z0))))))))), 1'(0(0(0(0(2(2(1(z0)))))))), 0'(0(0(0(2(2(1(z0))))))), 0'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))) -> c18(0'(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))), 0'(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))))), 2'(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))), 1'(0(0(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))))), 0'(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))), 0'(0(1(2(0(0(2(1(2(1(0(1(z0)))))))))))), 0'(1(2(0(0(2(1(2(1(0(1(z0))))))))))), 1'(2(0(0(2(1(2(1(0(1(z0)))))))))), 2'(0(0(2(1(2(1(0(1(z0))))))))), 0'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c19(0'(0(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))))), 1'(0(1(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))))), 1'(2(0(0(0(1(1(0(0(2(1(0(1(z0))))))))))))), 2'(0(0(0(1(1(0(0(2(1(0(1(z0)))))))))))), 0'(0(0(1(1(0(0(2(1(0(1(z0))))))))))), 0'(0(1(1(0(0(2(1(0(1(z0)))))))))), 0'(1(1(0(0(2(1(0(1(z0))))))))), 1'(1(0(0(2(1(0(1(z0)))))))), 1'(0(0(2(1(0(1(z0))))))), 0'(0(2(1(0(1(z0)))))), 0'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))))))) -> c20(0'(1(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))))), 1'(0(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))))), 0'(1(1(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))))), 1'(1(1(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))))), 1'(1(0(0(1(2(1(1(0(0(0(2(2(z0))))))))))))), 1'(0(0(1(2(1(1(0(0(0(2(2(z0)))))))))))), 0'(0(1(2(1(1(0(0(0(2(2(z0))))))))))), 0'(1(2(1(1(0(0(0(2(2(z0)))))))))), 1'(2(1(1(0(0(0(2(2(z0))))))))), 2'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))) -> c21(0'(1(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))))), 0'(0(2(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))))), 0'(2(1(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))))), 2'(1(0(0(0(0(0(0(0(2(2(1(0(z0))))))))))))), 1'(0(0(0(0(0(0(0(2(2(1(0(z0)))))))))))), 0'(0(0(0(0(0(0(2(2(1(0(z0))))))))))), 0'(0(0(0(0(0(2(2(1(0(z0)))))))))), 0'(0(0(0(0(2(2(1(0(z0))))))))), 0'(0(0(0(2(2(1(0(z0)))))))), 0'(0(0(2(2(1(0(z0))))))), 0'(0(2(2(1(0(z0)))))), 0'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))) -> c22(0'(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))), 1'(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))))), 1'(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))), 0'(2(0(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))))), 2'(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))), 0'(0(0(0(0(0(2(1(1(1(0(1(z0)))))))))))), 0'(0(0(0(0(2(1(1(1(0(1(z0))))))))))), 0'(0(0(0(2(1(1(1(0(1(z0)))))))))), 0'(0(0(2(1(1(1(0(1(z0))))))))), 0'(0(2(1(1(1(0(1(z0)))))))), 0'(2(1(1(1(0(1(z0))))))), 2'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))) -> c23(0'(1(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))))), 1'(0(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))))), 0'(2(2(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))))), 2'(2(0(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))))), 2'(0(0(2(2(0(0(0(0(1(0(1(0(z0))))))))))))), 0'(0(2(2(0(0(0(0(1(0(1(0(z0)))))))))))), 0'(2(2(0(0(0(0(1(0(1(0(z0))))))))))), 2'(2(0(0(0(0(1(0(1(0(z0)))))))))), 2'(0(0(0(0(1(0(1(0(z0))))))))), 0'(0(0(0(1(0(1(0(z0)))))))), 0'(0(0(1(0(1(0(z0))))))), 0'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c24(0'(0(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))))), 1'(0(0(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(1(0(2(1(1(0(1(0(0(0(z0))))))))))))), 1'(0(1(0(2(1(1(0(1(0(0(0(z0)))))))))))), 0'(1(0(2(1(1(0(1(0(0(0(z0))))))))))), 1'(0(2(1(1(0(1(0(0(0(z0)))))))))), 0'(2(1(1(0(1(0(0(0(z0))))))))), 2'(1(1(0(1(0(0(0(z0)))))))), 1'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c25(0'(0(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))))), 0'(2(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))))), 2'(0(2(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))))), 2'(2(0(2(0(0(0(2(0(1(0(0(0(z0))))))))))))), 2'(0(2(0(0(0(2(0(1(0(0(0(z0)))))))))))), 0'(2(0(0(0(2(0(1(0(0(0(z0))))))))))), 2'(0(0(0(2(0(1(0(0(0(z0)))))))))), 0'(0(0(2(0(1(0(0(0(z0))))))))), 0'(0(2(0(1(0(0(0(z0)))))))), 0'(2(0(1(0(0(0(z0))))))), 2'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))) -> c26(0'(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))))), 0'(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(1(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(1(0(2(0(0(0(0(0(z0))))))))))), 2'(0(1(0(2(0(0(0(0(0(z0)))))))))), 0'(1(0(2(0(0(0(0(0(z0))))))))), 1'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(z0))))))))))))) -> c27(0'(0(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(2(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(2(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(0(2(1(0(0(2(1(2(0(2(1(z0)))))))))))), 0'(2(1(0(0(2(1(2(0(2(1(z0))))))))))), 2'(1(0(0(2(1(2(0(2(1(z0)))))))))), 1'(0(0(2(1(2(0(2(1(z0))))))))), 0'(0(2(1(2(0(2(1(z0)))))))), 0'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(z0))))))))))))) -> c28(0'(2(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))))), 2'(0(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))))), 0'(0(1(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))))), 0'(1(1(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))))), 1'(1(0(0(1(1(1(1(0(1(2(2(1(z0))))))))))))), 1'(0(0(1(1(1(1(0(1(2(2(1(z0)))))))))))), 0'(0(1(1(1(1(0(1(2(2(1(z0))))))))))), 0'(1(1(1(1(0(1(2(2(1(z0)))))))))), 1'(1(1(1(0(1(2(2(1(z0))))))))), 1'(1(1(0(1(2(2(1(z0)))))))), 1'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))) -> c29(0'(2(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))))), 2'(2(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))))), 2'(1(2(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))))), 1'(2(0(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))))), 2'(0(0(1(0(0(2(0(0(0(0(0(0(z0))))))))))))), 0'(0(1(0(0(2(0(0(0(0(0(0(z0)))))))))))), 0'(1(0(0(2(0(0(0(0(0(0(z0))))))))))), 1'(0(0(2(0(0(0(0(0(0(z0)))))))))), 0'(0(2(0(0(0(0(0(0(z0))))))))), 0'(2(0(0(0(0(0(0(z0)))))))), 2'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(z0))))))))))))) -> c30(0'(0(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))))), 0'(0(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))))), 0'(2(2(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))))), 2'(2(0(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))))), 2'(0(0(0(0(1(2(2(0(1(1(1(0(z0))))))))))))), 0'(0(0(0(1(2(2(0(1(1(1(0(z0)))))))))))), 0'(0(0(1(2(2(0(1(1(1(0(z0))))))))))), 0'(0(1(2(2(0(1(1(1(0(z0)))))))))), 0'(1(2(2(0(1(1(1(0(z0))))))))), 1'(2(2(0(1(1(1(0(z0)))))))), 2'(2(0(1(1(1(0(z0))))))), 2'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(z0))))))))))))) -> c31(0'(0(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(1(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))))), 1'(2(0(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))))), 2'(0(0(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(2(1(0(0(1(1(0(1(z0))))))))))))), 0'(0(1(0(2(1(0(0(1(1(0(1(z0)))))))))))), 0'(1(0(2(1(0(0(1(1(0(1(z0))))))))))), 1'(0(2(1(0(0(1(1(0(1(z0)))))))))), 0'(2(1(0(0(1(1(0(1(z0))))))))), 2'(1(0(0(1(1(0(1(z0)))))))), 1'(0(0(1(1(0(1(z0))))))), 0'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))) -> c32(0'(0(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))))), 0'(0(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))))), 1'(1(0(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))))), 1'(0(2(2(0(1(2(1(1(0(1(1(0(z0))))))))))))), 0'(2(2(0(1(2(1(1(0(1(1(0(z0)))))))))))), 2'(2(0(1(2(1(1(0(1(1(0(z0))))))))))), 2'(0(1(2(1(1(0(1(1(0(z0)))))))))), 0'(1(2(1(1(0(1(1(0(z0))))))))), 1'(2(1(1(0(1(1(0(z0)))))))), 2'(1(1(0(1(1(0(z0))))))), 1'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))))))))) -> c33(0'(1(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))))), 1'(0(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))))), 0'(0(0(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))))), 0'(0(2(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))))), 0'(2(2(0(0(2(1(0(0(1(1(0(0(z0))))))))))))), 2'(2(0(0(2(1(0(0(1(1(0(0(z0)))))))))))), 2'(0(0(2(1(0(0(1(1(0(0(z0))))))))))), 0'(0(2(1(0(0(1(1(0(0(z0)))))))))), 0'(2(1(0(0(1(1(0(0(z0))))))))), 2'(1(0(0(1(1(0(0(z0)))))))), 1'(0(0(1(1(0(0(z0))))))), 0'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))) -> c34(0'(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))), 0'(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))))), 2'(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))), 0'(0(1(0(1(0(0(2(0(2(2(0(z0)))))))))))), 0'(1(0(1(0(0(2(0(2(2(0(z0))))))))))), 1'(0(1(0(0(2(0(2(2(0(z0)))))))))), 0'(1(0(0(2(0(2(2(0(z0))))))))), 1'(0(0(2(0(2(2(0(z0)))))))), 0'(0(2(0(2(2(0(z0))))))), 0'(2(0(2(2(0(z0)))))), 2'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c35(0'(1(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(1(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(2(0(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))))), 2'(0(2(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))))), 0'(2(1(0(0(0(2(2(1(0(2(0(0(z0))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(0(2(2(1(0(2(0(0(z0))))))))))), 0'(0(0(2(2(1(0(2(0(0(z0)))))))))), 0'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))) -> c36(0'(2(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(2(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))))), 2'(1(1(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))))), 1'(1(0(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(1(0(2(0(z0))))))))))))), 0'(0(0(2(0(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(2(0(0(0(0(1(0(2(0(z0))))))))))), 0'(2(0(0(0(0(1(0(2(0(z0)))))))))), 2'(0(0(0(0(1(0(2(0(z0))))))))), 0'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(z0))))))))))))) -> c37(0'(2(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))))), 2'(0(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))))), 0'(1(2(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))))), 1'(2(0(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))))), 2'(0(0(0(2(1(2(1(1(0(0(0(1(z0))))))))))))), 0'(0(0(2(1(2(1(1(0(0(0(1(z0)))))))))))), 0'(0(2(1(2(1(1(0(0(0(1(z0))))))))))), 0'(2(1(2(1(1(0(0(0(1(z0)))))))))), 2'(1(2(1(1(0(0(0(1(z0))))))))), 1'(2(1(1(0(0(0(1(z0)))))))), 2'(1(1(0(0(0(1(z0))))))), 1'(1(0(0(0(1(z0)))))), 1'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(z0))))))))))))) -> c38(0'(0(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))))), 0'(2(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))))), 2'(1(2(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))))), 1'(2(1(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))))), 2'(1(0(0(2(0(1(0(2(2(0(0(0(z0))))))))))))), 1'(0(0(2(0(1(0(2(2(0(0(0(z0)))))))))))), 0'(0(2(0(1(0(2(2(0(0(0(z0))))))))))), 0'(2(0(1(0(2(2(0(0(0(z0)))))))))), 2'(0(1(0(2(2(0(0(0(z0))))))))), 0'(1(0(2(2(0(0(0(z0)))))))), 1'(0(2(2(0(0(0(z0))))))), 0'(2(2(0(0(0(z0)))))), 2'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0))))))))))))) -> c39(0'(0(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))))), 0'(0(0(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))))), 0'(0(0(0(1(1(2(2(2(2(1(1(0(z0))))))))))))), 0'(0(0(1(1(2(2(2(2(1(1(0(z0)))))))))))), 0'(0(1(1(2(2(2(2(1(1(0(z0))))))))))), 0'(1(1(2(2(2(2(1(1(0(z0)))))))))), 1'(1(2(2(2(2(1(1(0(z0))))))))), 1'(2(2(2(2(1(1(0(z0)))))))), 2'(2(2(2(1(1(0(z0))))))), 2'(2(2(1(1(0(z0)))))), 2'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))) -> c40(0'(0(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))))), 0'(0(1(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))))), 0'(1(1(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))))), 1'(1(1(2(1(0(1(1(0(2(1(0(2(z0))))))))))))), 1'(1(2(1(0(1(1(0(2(1(0(2(z0)))))))))))), 1'(2(1(0(1(1(0(2(1(0(2(z0))))))))))), 2'(1(0(1(1(0(2(1(0(2(z0)))))))))), 1'(0(1(1(0(2(1(0(2(z0))))))))), 0'(1(1(0(2(1(0(2(z0)))))))), 1'(1(0(2(1(0(2(z0))))))), 1'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(z0))))))))))))) -> c41(0'(2(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))))), 2'(1(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))))), 0'(1(0(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))))), 1'(0(0(0(1(2(1(0(0(0(2(0(0(z0))))))))))))), 0'(0(0(1(2(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(0(0(0(2(0(0(z0))))))))))), 0'(1(2(1(0(0(0(2(0(0(z0)))))))))), 1'(2(1(0(0(0(2(0(0(z0))))))))), 2'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))) -> c42(0'(0(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))))), 0'(0(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))))), 0'(0(0(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))))), 0'(0(2(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))))), 0'(2(0(2(2(1(0(0(1(0(2(0(1(z0))))))))))))), 2'(0(2(2(1(0(0(1(0(2(0(1(z0)))))))))))), 0'(2(2(1(0(0(1(0(2(0(1(z0))))))))))), 2'(2(1(0(0(1(0(2(0(1(z0)))))))))), 2'(1(0(0(1(0(2(0(1(z0))))))))), 1'(0(0(1(0(2(0(1(z0)))))))), 0'(0(1(0(2(0(1(z0))))))), 0'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_0(z0))))))))))))) -> c43(0'(0(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))))), 1'(1(1(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))))), 1'(1(2(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))))), 1'(2(2(0(1(2(1(0(0(0(0(2(0(z0))))))))))))), 2'(2(0(1(2(1(0(0(0(0(2(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(2(0(z0))))))))))), 0'(1(2(1(0(0(0(0(2(0(z0)))))))))), 1'(2(1(0(0(0(0(2(0(z0))))))))), 2'(1(0(0(0(0(2(0(z0)))))))), 1'(0(0(0(0(2(0(z0))))))), 0'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))) -> c44(0'(0(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(2(0(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 2'(0(0(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(2(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(2(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(2(0(0(0(0(0(0(0(1(0(z0))))))))))), 2'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(z0))))))))))))) -> c46(1'(0(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))))), 1'(1(2(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))))), 2'(1(2(1(1(1(0(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(1(0(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(1(0(1(2(0(0(0(0(z0))))))))))), 1'(1(1(0(1(2(0(0(0(0(z0)))))))))), 1'(1(0(1(2(0(0(0(0(z0))))))))), 1'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))) -> c47(1'(1(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))))), 1'(1(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))))), 1'(0(0(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(1(0(1(1(1(0(2(0(0(z0))))))))))))), 0'(1(0(1(0(1(1(1(0(2(0(0(z0)))))))))))), 1'(0(1(0(1(1(1(0(2(0(0(z0))))))))))), 0'(1(0(1(1(1(0(2(0(0(z0)))))))))), 1'(0(1(1(1(0(2(0(0(z0))))))))), 0'(1(1(1(0(2(0(0(z0)))))))), 1'(1(1(0(2(0(0(z0))))))), 1'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(z0))))))))))))) -> c48(1'(0(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))))), 0'(1(1(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))))), 1'(1(0(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))))), 1'(0(0(2(1(0(1(2(1(0(1(2(0(z0))))))))))))), 0'(0(2(1(0(1(2(1(0(1(2(0(z0)))))))))))), 0'(2(1(0(1(2(1(0(1(2(0(z0))))))))))), 2'(1(0(1(2(1(0(1(2(0(z0)))))))))), 1'(0(1(2(1(0(1(2(0(z0))))))))), 0'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))) -> c49(1'(2(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))))), 2'(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))))), 1'(0(0(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))))), 0'(0(2(1(0(0(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(1(0(0(0(1(0(1(0(0(0(z0)))))))))))), 2'(1(0(0(0(1(0(1(0(0(0(z0))))))))))), 1'(0(0(0(1(0(1(0(0(0(z0)))))))))), 0'(0(0(1(0(1(0(0(0(z0))))))))), 0'(0(1(0(1(0(0(0(z0)))))))), 0'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(z0))))))))))))) -> c50(2'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(1(0(z0))))))))))))), 0'(1(0(0(0(0(0(0(0(0(1(0(z0)))))))))))), 1'(0(0(0(0(0(0(0(0(1(0(z0))))))))))), 0'(0(0(0(0(0(0(0(1(0(z0)))))))))), 0'(0(0(0(0(0(0(1(0(z0))))))))), 0'(0(0(0(0(0(1(0(z0)))))))), 0'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))) -> c51(1'(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))), 0'(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))), 1'(1(0(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))))), 1'(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(2(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(2(0(z0))))))))))), 1'(1(0(0(0(1(2(0(2(0(z0)))))))))), 1'(0(0(0(1(2(0(2(0(z0))))))))), 0'(0(0(1(2(0(2(0(z0)))))))), 0'(0(1(2(0(2(0(z0))))))), 0'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))) -> c53(0'(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))), 0'(0(0(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))), 0'(0(1(1(0(0(0(1(2(0(0(0(z0)))))))))))), 0'(1(1(0(0(0(1(2(0(0(0(z0))))))))))), 1'(1(0(0(0(1(2(0(0(0(z0)))))))))), 1'(0(0(0(1(2(0(0(0(z0))))))))), 0'(0(0(1(2(0(0(0(z0)))))))), 0'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))) -> c54(1'(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 0'(0(1(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 0'(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(0(z0)))))))))))), 0'(1(0(0(0(0(0(0(2(0(0(z0))))))))))), 1'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(z0))))))))))))) -> c55(2'(1(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))))), 1'(0(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))))), 0'(0(1(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))))), 0'(1(0(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))))), 1'(0(2(0(1(0(0(1(0(0(2(0(0(z0))))))))))))), 0'(2(0(1(0(0(1(0(0(2(0(0(z0)))))))))))), 2'(0(1(0(0(1(0(0(2(0(0(z0))))))))))), 0'(1(0(0(1(0(0(2(0(0(z0)))))))))), 1'(0(0(1(0(0(2(0(0(z0))))))))), 0'(0(1(0(0(2(0(0(z0)))))))), 0'(1(0(0(2(0(0(z0))))))), 1'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))) -> c56(0'(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))), 0'(0(0(0(1(1(1(2(1(0(0(1(z0)))))))))))), 0'(0(0(1(1(1(2(1(0(0(1(z0))))))))))), 0'(0(1(1(1(2(1(0(0(1(z0)))))))))), 0'(1(1(1(2(1(0(0(1(z0))))))))), 1'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(z0))))))))))))) -> c57(0'(2(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))))), 2'(0(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(2(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))))), 0'(2(0(0(0(2(1(0(2(1(1(0(0(z0))))))))))))), 2'(0(0(0(2(1(0(2(1(1(0(0(z0)))))))))))), 0'(0(0(2(1(0(2(1(1(0(0(z0))))))))))), 0'(0(2(1(0(2(1(1(0(0(z0)))))))))), 0'(2(1(0(2(1(1(0(0(z0))))))))), 2'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0))))))))))))) -> c58(0'(2(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))))), 2'(0(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))))), 0'(0(1(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))))), 0'(1(0(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(2(1(z0))))))))))))), 0'(0(0(2(0(0(0(0(0(0(2(1(z0)))))))))))), 0'(0(2(0(0(0(0(0(0(2(1(z0))))))))))), 0'(2(0(0(0(0(0(0(2(1(z0)))))))))), 2'(0(0(0(0(0(0(2(1(z0))))))))), 0'(0(0(0(0(0(2(1(z0)))))))), 0'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(z0))))))))))))) -> c59(2'(0(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))))), 0'(0(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))))), 0'(0(2(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))))), 0'(2(2(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))))), 2'(2(1(1(0(0(1(0(2(1(1(2(0(z0))))))))))))), 2'(1(1(0(0(1(0(2(1(1(2(0(z0)))))))))))), 1'(1(0(0(1(0(2(1(1(2(0(z0))))))))))), 1'(0(0(1(0(2(1(1(2(0(z0)))))))))), 0'(0(1(0(2(1(1(2(0(z0))))))))), 0'(1(0(2(1(1(2(0(z0)))))))), 1'(0(2(1(1(2(0(z0))))))), 0'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))) -> c60(0'(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))), 0'(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))))), 2'(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))), 0'(0(2(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))))), 0'(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))), 2'(0(0(2(0(1(2(0(1(1(0(1(z0)))))))))))), 0'(0(2(0(1(2(0(1(1(0(1(z0))))))))))), 0'(2(0(1(2(0(1(1(0(1(z0)))))))))), 2'(0(1(2(0(1(1(0(1(z0))))))))), 0'(1(2(0(1(1(0(1(z0)))))))), 1'(2(0(1(1(0(1(z0))))))), 2'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))) -> c61(2'(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))), 2'(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))), 1'(1(0(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))))), 1'(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))), 0'(0(0(0(0(2(1(2(1(1(0(2(z0)))))))))))), 0'(0(0(0(2(1(2(1(1(0(2(z0))))))))))), 0'(0(0(2(1(2(1(1(0(2(z0)))))))))), 0'(0(2(1(2(1(1(0(2(z0))))))))), 0'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))) -> c62(0'(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))), 0'(1(0(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))))), 1'(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))), 0'(0(1(1(0(0(1(0(1(1(1(0(z0)))))))))))), 0'(1(1(0(0(1(0(1(1(1(0(z0))))))))))), 1'(1(0(0(1(0(1(1(1(0(z0)))))))))), 1'(0(0(1(0(1(1(1(0(z0))))))))), 0'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))) -> c63(2'(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))), 0'(0(1(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))))), 0'(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))), 1'(0(0(0(1(0(0(2(1(0(1(2(z0)))))))))))), 0'(0(0(1(0(0(2(1(0(1(2(z0))))))))))), 0'(0(1(0(0(2(1(0(1(2(z0)))))))))), 0'(1(0(0(2(1(0(1(2(z0))))))))), 1'(0(0(2(1(0(1(2(z0)))))))), 0'(0(2(1(0(1(2(z0))))))), 0'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(c_0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(c_0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(c_0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(c_0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(c_0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(c_0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(c_1(2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(c_2(0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(c_0(2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(c_2(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(c_1(0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(c_0(0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(c_0(0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(c_0(2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(c_2(1(x0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(x0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(x0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(x0))))))))))), 1'(2(0(2(1(0(0(0(2(1(x0)))))))))), 2'(0(2(1(0(0(0(2(1(x0))))))))), 0'(2(1(0(0(0(2(1(x0)))))))), 2'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(c_1(z0))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(z0)))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(z0))))))))))), 1'(2(0(2(1(0(0(0(2(1(z0)))))))))), 2'(0(2(1(0(0(0(2(1(z0))))))))), 0'(2(1(0(0(0(2(1(z0)))))))), 2'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(0(0(1(1(0(0(1(1(0(0(0(1(2(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))), 0'(1(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))), 1'(2(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))), 2'(0(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))), 0'(2(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))))), 2'(1(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))), 1'(0(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))), 0'(0(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))), 0'(0(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))), 0'(2(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))), 2'(1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))), 1'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(c_2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(c_1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(c_0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(c_1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(c_0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(c_0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(c_0(0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(c_0(1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(c_1(0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(c_0(1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(c_1(1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(c_1(2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(c_2(0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(c_0(0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(x0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(c_0(0(x0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(x0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(x0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(x0))))))))))), 0'(0(1(0(1(1(2(0(0(0(x0)))))))))), 0'(1(0(1(1(2(0(0(0(x0))))))))), 1'(0(1(1(2(0(0(0(x0)))))))), 0'(1(1(2(0(0(0(x0))))))), 1'(1(2(0(0(0(x0)))))), 1'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(c_0(z0))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(z0)))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(z0))))))))))), 0'(0(1(0(1(1(2(0(0(0(z0)))))))))), 0'(1(0(1(1(2(0(0(0(z0))))))))), 1'(0(1(1(2(0(0(0(z0)))))))), 0'(1(1(2(0(0(0(z0))))))), 1'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))), 0'(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))), 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))
   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))), 0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))), 0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(0(0(1(0(1(0(0(0(1(0(0(0(1(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))), 0'(0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))), 0'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(1(0(0(0(1(2(0(0(2(1(2(1(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))), 2'(0(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0)))))))))))))), 0'(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(1(0(2(0(0(0(0(0(0(2(1(1(1(0(1(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))), 2'(0(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))), 0'(0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))), 0'(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(1(0(0(2(2(0(2(0(1(0(2(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))), 2'(0(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))), 0'(0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))), 0'(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))) -> c8(0'(2(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(0(2(0(1(0(0(1(0(1(0(0(2(0(2(2(0(z0))))))))))))))))))))))))))))))))), 2'(1(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 1'(0(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))), 0'(0(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))), 0'(1(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))), 1'(0(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))))), 0'(1(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))), 1'(1(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))))), 1'(2(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))), 2'(0(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(c_0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(c_0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(c_0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(c_1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(c_1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(c_1(2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(c_2(1(1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(c_1(0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(c_0(0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(c_0(0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(c_0(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(c_0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(x0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(c_0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(x0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(x0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(x0))))))))))), 1'(2(1(1(0(0(0(0(0(0(x0)))))))))), 2'(1(1(0(0(0(0(0(0(x0))))))))), 1'(1(0(0(0(0(0(0(x0)))))))), 1'(0(0(0(0(0(0(x0))))))), 0'(0(0(0(0(0(x0)))))), 0'(0(0(0(0(x0))))), 0'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(c_0(z0))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(z0)))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(z0))))))))))), 1'(2(1(1(0(0(0(0(0(0(z0)))))))))), 2'(1(1(0(0(0(0(0(0(z0))))))))), 1'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(0(0(0(0(1(2(0(2(1(0(0(0(2(1(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))))), 0'(0(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))), 0'(0(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))))), 0'(0(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))), 0'(0(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))), 0'(0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))), 0'(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 0'(0(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 0'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))), 0'(0(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))), 0'(0(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))), 0'(0(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))), 0'(0(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))), 0'(0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))), 0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))
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   0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c9(0'(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(1(0(0(0(0(1(2(0(0(0(2(0(1(0(2(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 0'(0(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 0'(1(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))), 1'(1(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))), 1'(1(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))), 1'(2(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))), 2'(1(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))))), 1'(1(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))))), 0'(0(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))), 0'(0(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))))), 0'(0(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))), 0'(0(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))), 0'(0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))), 0'(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0))))))))))))))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(x0))))))))))))) -> c10(0'(c_0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(x0))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(x0)))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(x0))))))))))), 0'(1(0(1(1(0(0(0(2(0(x0)))))))))), 1'(0(1(1(0(0(0(2(0(x0))))))))), 0'(1(1(0(0(0(2(0(x0)))))))), 1'(1(0(0(0(2(0(x0))))))), 1'(0(0(0(2(0(x0)))))), 0'(0(0(2(0(x0))))), 0'(0(2(0(x0)))), 0'(2(0(x0))), 2'(0(x0)), 0'(x0))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))) -> c10(0'(0(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(0(0(0(0(1(1(1(2(1(1(0(0(0(0(0(0(z0))))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))))), 0'(0(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))))), 0'(2(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))))), 1'(0(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))))), 0'(1(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))))), 1'(0(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))))), 0'(0(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))))), 0'(0(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))))), 0'(2(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))), 2'(0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0)))))))))))))), 0'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_2(z0))))))))))))))
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   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(c_1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(c_0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(c_2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(c_0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(c_2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(c_0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(c_0(0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(c_0(0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(c_0(1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(c_1(0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(c_0(0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(c_0(1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(c_1(0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(c_0(1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(c_1(2(x0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(x0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(x0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(x0))))))))))), 0'(0(0(1(0(0(1(0(1(2(x0)))))))))), 0'(0(1(0(0(1(0(1(2(x0))))))))), 0'(1(0(0(1(0(1(2(x0)))))))), 1'(0(0(1(0(1(2(x0))))))), 0'(0(1(0(1(2(x0)))))), 0'(1(0(1(2(x0))))), 1'(0(1(2(x0)))), 0'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(c_2(z0))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(z0))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(z0)))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(z0))))))))))), 0'(0(0(1(0(0(1(0(1(2(z0)))))))))), 0'(0(1(0(0(1(0(1(2(z0))))))))), 0'(1(0(0(1(0(1(2(z0)))))))), 1'(0(0(1(0(1(2(z0))))))), 0'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(0(2(1(0(0(0(0(1(1(0(0(0(1(2(0(0(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))), 0'(0(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))))), 0'(1(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))), 1'(0(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))))), 0'(1(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))), 1'(2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0)))))))))))))), 2'(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))), 0'(0(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))), 0'(1(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))), 1'(0(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))), 0'(1(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))), 1'(2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))), 2'(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))
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   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(0(0(0(2(0(0(0(0(0(1(1(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))), 0'(0(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))))), 0'(1(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))), 1'(0(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))))), 0'(1(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))), 1'(2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0)))))))))))))), 2'(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))
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   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(0(0(2(0(0(2(0(0(2(0(1(2(0(1(1(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))), 0'(0(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))))), 0'(1(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))), 1'(0(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))), 0'(1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))), 1'(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))), 2'(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(2(2(1(1(0(0(0(0(0(2(1(2(1(1(0(2(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))), 0'(0(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))), 0'(1(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))), 1'(0(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))), 0'(1(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))), 1'(2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))), 2'(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(1(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))), 0'(0(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))), 0'(1(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))), 1'(0(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))), 0'(1(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))), 1'(2(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))), 2'(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))
   0'(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))) -> c11(0'(1(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(1(1(0(0(1(0(0(0(1(0(0(2(1(0(1(2(z0))))))))))))))))))))))))))))))))), 1'(0(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))), 0'(2(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))), 2'(0(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))), 0'(0(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))), 0'(0(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))), 0'(1(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))), 1'(0(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))), 0'(0(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))), 0'(1(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))), 1'(0(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))), 0'(1(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))), 1'(2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))), 2'(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1

Compound Symbols:   c12_17, c13_17, c14_17, c15_17, c16_17, c17_17, c18_17, c19_17, c20_17, c21_17, c22_17, c23_17, c24_17, c25_17, c26_17, c27_17, c28_17, c29_17, c30_17, c31_17, c32_17, c33_17, c34_17, c35_17, c36_17, c37_17, c38_17, c39_17, c40_17, c41_17, c42_17, c43_17, c44_17, c46_17, c47_17, c48_17, c49_17, c50_17, c51_17, c53_17, c54_17, c55_17, c56_17, c57_17, c58_17, c59_17, c60_17, c61_17, c62_17, c63_17, c6_1, c_2, c1_2, c2_2, c7_17, c8_17, c9_17, c10_17, c11_17